Trigonometry, Popular Questions: ICSE Class 9 MATH, Mathematics

Abhishek Mishra asked a question

Subject: Math, asked on on 8/4/18

29. In the adjoining figure, ABCD is a rectangle. Its diagonal AC = 15 cm and

∠

ACD =

α

. If cot

α = \frac{3}{2}

, find the perimeter and area of the rectangle.

30. Using the measurements given in figure alongside,
(a) find the values of :
(1) sin

ϕ

(ii) tan

θ

.
(b) write an expression for AD in terms of

θ

.
Hint: (b) CD = 5. Draw DE perpendicular to AB, BE = 5, EA = 9.

Akbar Khan asked a question

Subject: Math, asked on on 13/8/17

11 question pls

Aditya Prashant Verat asked a question

Subject: Math, asked on 17 hours, 34 minutes ago

Question vi & vii

Lalitha Shree asked a question

Subject: Math, asked on on 16/12/17

in the following figure ,ab=4 cm and ed=3cm and sin x = 3/5 and cos y =12/13 find the length of bd
Q.37. In the following figure, AB = 4 cm and ED = 3 m.

If

\sin α = \frac{3}{5} a n d \cos β = \frac{12}{13}

find the length of BD.

Dhruv Rajgaria asked a question

Subject: Math, asked on on 14/9/18

In the figure(2) given below,triangle ABC is right angled at B and BD is perpendicular to AC.Find
i) cos angle CBD
ii) cot angle ABD

Akash Das Gupta asked a question

Subject: Math, asked on on 5/5/18

(xxi) If 2y cos

θ

= xsin

θ

and 2x sec

θ

- y cosec

θ

= 3, then what is the value of x² + 4y²?
(a) 2 (b) 1 (c) 0 (d) None of these.
(xxii) If tan

θ

+ cot

θ

= 2, then the value of tan

θ

- cot

θ

is
(a) 1 (b) 2 (c) - 1 (d) None of these.
(xxiii) If 3 cos

θ

- 4 sin

θ

= 5, then the value of 3 sin

θ

+ 4 cos

θ

is
(a) 1 (b) 2 (c) 0 (d) None of these.

Koninika Sen Athalye asked a question

Subject: Math, asked on on 16/12/18

If 12sin theta = 35cos theta, find the value of (sin theta - cos theta)/(sin theta + cos theta)

Jayanth asked a question

Subject: Math, asked on on 29/7/18

if tan theta + cot theta equals to 2 then sin theta equals to

Utkarsh Vats asked a question

Subject: Math, asked on 1 week, 1 day ago

Question no. 114

Aditya Prashant Verat asked a question

Subject: Math, asked on 17 hours, 18 minutes ago

Question 7 plz

Khushboo asked a question

Subject: Math, asked on on 15/2/18

sin 60 degree / cos^2 45 degree - 3 tan 30 degree + 5 cos 90 degree

Kritika Dudpuri asked a question

Subject: Math, asked on on 27/11/18

[ ( sin 28 °54')÷(sec 61° 6') ] + [ ( cos 28° 54' ) ÷ cosec 61° 6']

Artha Potdar asked a question

Subject: Math, asked on on 12/3/18

Prove that: Tan20tan30tan40tan80=1

Akbar Khan asked a question

Subject: Math, asked on on 13/8/17

Q12 pls

Aditya Prashant Verat asked a question

Subject: Math, asked on 17 hours, 36 minutes ago

Question 5 i & ii

Debargha Das asked a question

Subject: Math, asked on on 21/7/18

value of tan 12 degree 20 minute

Sarvagya Singh asked a question

Subject: Math, asked on 1 week, 2 days ago

Answer question 3a

Ashadip Ghosh asked a question

Subject: Math, asked on on 4/8/17

Q n 15

Sanjani asked a question

Subject: Math, asked on on 10/9/18

if the length of each side of a rhombus is 8 cm and its one angle is 60 degree,then find the lengths of the diagonals of the rhombus

Janakiram asked a question

Subject: Math, asked on on 20/7/18

If 1+sinx = 9cosx then 5(1-cosx)=

Abhishek Singh asked a question

Subject: Math, asked on on 28/10/18

If sin (x-2y) = cos (4y-x), then the value of cot 2y is:

Kritika Dudpuri asked a question

Subject: Math, asked on on 27/11/18

( sin 29 ° 31') ÷ (cos 60° 29')

Garima Singh asked a question

Subject: Math, asked on on 13/9/17

Solve this:
7. Find AB.

Sumedha Ghosh Chowdhury asked a question

Subject: Math, asked on on 2/10/18

In the given figure , angle B = 60 ^o , AB = 8 cm and BC = 25 cm . Calculate i) BE ii) AC

Aditya Prashant Verat asked a question

Subject: Math, asked on 17 hours, 37 minutes ago

Question vii & viii

Aditya asked a question

Subject: Math, asked on on 10/9/17

Plz do thi

Legend Vishal asked a question

Subject: Math, asked on on 28/1/18

Please solve the question 6,7
Q.(vi)

\sin (60 ° - θ) = \cos (30 ° + θ)

[Hint. LHS =

\sin [90 ° - (30 ° + θ)]

]
(vii)

\frac{\sin θ}{\sin (90 ° - θ)} + \frac{\cos θ}{\cos (90 ° - θ)}

Akbar Ali Agwan asked a question

Subject: Math, asked on on 25/4/18

Please solve 8c(i,ii)

Anitha Thomas asked a question

Subject: Math, asked on 3 weeks, 2 days ago

If sinA=cosA find the value of 2tan^2- 2sec^2A+5

Saksham Mahato asked a question

Subject: Math, asked on on 19/9/17

Q11. If 13 sin = 5, find the value of

\frac{(5 \sin θ - 2 \cos θ)}{\tan θ}

Q12. If

c o t θ = \frac{1}{\sqrt{3}}, s h o w t h a t (\frac{1 - \cos^{2} θ}{2 - \sin^{2} θ}) = \frac{3}{5}

Q13. If

s e c θ = \frac{13}{5}, s h o w t h a t (\frac{2 \sin θ - 3 \cos θ}{4 \sin θ - 9 \cos θ}) = 3 .

Q14. If

3 \tan θ = 4, s h o w t h a t (\frac{3 \sin θ + 2 \cos θ}{3 \sin θ - 2 \cos θ}) = 3 .

Sarvagya Singh asked a question

Subject: Math, asked on 1 week, 2 days ago

Please answer
Prove:-
tan20?.tan35?.tan55?.tan70?=1

Jayanth asked a question

Subject: Math, asked on on 30/7/18

If cot theta + cosec theta equals to 5 then cos theta equals to

Anwesha Ghosh asked a question

Subject: Math, asked on on 8/1/18

sin square 28 degrees minus cos square 62 degrees is equal two 0 prove it

Ravi Munda asked a question

Subject: Math, asked on on 21/5/18

If SinQ =3/5 and Q is an acute angle Find : (1) CosQ ,(2) tanQ

Priyanshu Sahu asked a question

Subject: Math, asked on 1 week, 2 days ago

How to solve this question

Anwesha Ghosh asked a question

Subject: Math, asked on on 8/1/18

12,13,14,15all the sub parts

Q12. Without using trigonometrical tables, evaluate :

(i)

2 {(\frac{\tan 35 °}{\cot 55 °})}^{2} + (\frac{\cot 55 °}{\tan 35 °}) - 3 (\frac{\sec 40 °}{cosec 50 °})

(ii)

\frac{\sin 35 ° \cos 55 ° + \cos 35 ° \sin 55 °}{{cosec}^{2} 10 ° - \tan^{2} 80 °}

(iii) sin²34° + sin²56° + 2 tan 18° tan 72° – cot² 30°.

Q13. Prove the following :

(i)

\frac{\cos θ}{\sin (90 ° - θ)} + \frac{\sin θ}{\cos (90 ° - θ)} = 2

(ii) cos

θ \sin (90 ° - θ) + \sin θ \cos (90 ° - θ) = 1

(iii)

\frac{\tan θ}{\tan (90 ° - θ)} + \frac{\sin (90 ° - θ)}{\cos θ} = \sec^{2} θ

.

Q14. Prove the following :

(i)

\frac{\cos (90 ° - A) \sin (90 ° - A)}{\tan (90 ° - A)} = 1 - \cos^{2} A

(ii)

\frac{\sin (90 ° - A)}{cosec (90 ° - A)} + \frac{\cos (90 ° - A)}{\sec (90 ° - A)} = 1

Q15. Simplify the following :

(i)

\frac{\cos θ}{\sin (90 ° - 0)} + \frac{\cos (90 ° - θ)}{\sec (90 ° - θ)} - 3 \tan^{2} 30 °

Kritika Dudpuri asked a question

Subject: Math, asked on on 27/11/18

Express in terms of trigonometric ratios of angles between 0 ° and 45°
cos 81° + cot 81°

Wekshitha Alapati asked a question

Subject: Math, asked on on 27/9/17

If tan theta equal to 1 by root 7 then cosecant square theta minus secant square theta by co secant square theta + secant square theta equals to

Rajeswari asked a question

Subject: Math, asked on on 2/2/19

It is from sine rule

Jayanti Goswami asked a question

Subject: Math, asked on on 9/10/17

Could someone help me solve these?

1. (Cos 13 + sin 13)/ (cos 13 - sin 13) = tan A
What is A?

2. (sin 20 cos 70 + cos 20 sin 70)/ (sin 23 cosec 23 + cos 23 sec 23)= ?

3. If tan a = 5/6 and tan b = 1/11, then what is the value of a + b ?

Bishakha Bhattacharjee asked a question

Subject: Math, asked on on 26/7/18

Sir/Madam can you please solve question no. 8(i)

Suraj Shekhar Sahu asked a question

Subject: Math, asked on on 14/3/18

In the figure, triangle ABC is right angled at B and BD is perpendicular to AC. Find cos angle CBD and cos angle ABD

Shivangi Joshi asked a question

Subject: Math, asked on on 11/7/19

Please solve question 2v)

Rudranshu asked a question

Subject: Math, asked on on 20/11/17

sin 59 + tan 63°

Savikaran asked a question

Subject: Math, asked on 1 week, 4 days ago

Plz solve q4

Akbar Ali Agwan asked a question

Subject: Math, asked on on 25/4/18

Please solve 8c(i):

8 (c) In the figure (3) given below, AD is perpendicular to BC, BD=15 cm, sin B=

\frac{4}{5}

and tan C=1
(i) Calculate the lengths of AD, AB, DC and AC.

Superb Bhavesh Kaushik asked a question

Subject: Math, asked on on 7/9/17

Valueof x in degree

Artika asked a question

Subject: Math, asked on on 3/11/19

Ans the question quickly

Ridhima asked a question

Subject: Math, asked on on 6/9/17

If x=a cos theeta + a sin theeta; y=a sin theeta - b cos theeta, prove that x² + y² = a² + b²

Jayanth asked a question

Subject: Math, asked on on 30/7/18

if sec theta - tan theta equals to 4 by 3 then sin theta equals to

Suryansh Kauntey asked a question

Subject: Math, asked on on 30/11/18

Q 3 (i) and (ii)

Praveen Chandra Yadav asked a question

Subject: Math, asked on on 3/1/19

Q11 part IV experts give solution

Divyanshi Rana asked a question

Subject: Math, asked on on 20/10/18

Pls do this question fast.

Bebo asked a question

Subject: Math, asked on on 1/5/19

Hello. Please I need Help.

Bishakha Bhattacharjee asked a question

Subject: Math, asked on on 23/7/18

Sir/Madam can you please solve question no. 17

Savikaran asked a question

Subject: Math, asked on 1 week, 3 days ago

Plz solve q13

Harshini asked a question

Subject: Math, asked on on 26/1/18

In triangle ABC, ∠B = 90°, AB = 40, AC + BC = 80. Find :
(i) sin A (ii) cos A (iii) tan C

Saakshi Gudgud asked a question

Subject: Math, asked on on 24/6/18

If x = a cos theta + b sin theta and y = a sin theta - b cos theta prove that x square + y square = a square + b square

Sahil asked a question

Subject: Math, asked on on 1/11/18

Sin 42 sin 48 -cos 42cos48

Saakshi Gudgud asked a question

Subject: Math, asked on on 24/6/18

Meritnation expert I have my exam so it's very urgent.....so please help me with this question no. 17

Sarvagya Singh asked a question

Subject: Math, asked on 1 week, 2 days ago

Please answer

sin42?.sin48? - cos42?.cos48?

Rajeswari asked a question

Subject: Math, asked on on 17/12/18

Answer is a but how

Sachin asked a question

Subject: Math, asked on on 31/10/17

5SIN62/COS28 - 2SEC34/COSEC 56

Sambit Mallick asked a question

Subject: Math, asked on on 7/6/18

prove that (1+cos A)/sin²A=1/(1-cos A)

Ad asked a question

Subject: Math, asked on on 31/5/18

If a+b+c = 270° then what is the value of cos 2a+cos 2b+cos 2c +4sin a sin b sin c?

Jayanth asked a question

Subject: Math, asked on on 30/7/18

cos theta - sin theta equals to root 2 Sin Theta then cos theta + sin theta equals to

Saksham Mahato asked a question

Subject: Math, asked on on 20/9/17

Pls. Solve Qn.No. 14

Devansh Deep Gupta asked a question

Subject: Math, asked on on 14/10/18

Expert please
Find: 1). sec y

Akbar Ali Agwan asked a question

Subject: Math, asked on on 25/4/18

Please solve 8c(ii)

Devansh Deep Gupta asked a question

Subject: Math, asked on on 4/11/18

Please Experts solve it fast

Rajat asked a question

Subject: Math, asked on on 12/10/17

1. If sec A = cosec A and

0 \leq A \leq 90

, state the value of A.
2. If tan

θ

= cot

θ

and

0 \leq θ \leq 90

, State the value of

θ

.
3. If sin x = cos y; write the relation between x and y, if both the angles x and y are acute.

Divyanshi Rana asked a question

Subject: Math, asked on on 30/11/18

Please solve this question urgently

Aswin Prakash V asked a question

Subject: Math, asked on on 18/6/18

In the following diagram AB is a floor board pqrs is a cubical box with each edge 1m and angle 60 calculate the length of the board AB

Agniroop Saha asked a question

Subject: Math, asked on on 17/12/18

Please answer this question

Ridhima asked a question

Subject: Math, asked on on 6/9/17

Prove that: sin A/(1+cos A) + (1+cos A)/sin A = cosec A

Kritika Dudpuri asked a question

Subject: Math, asked on on 27/1/19

sec²A + cosec²A= sec²A cosec²A

Smrithi Pillai asked a question

Subject: Math, asked on on 16/2/19

If tan A = 1 and tan B = ?3
Find:
1) cos A cos B - sin A sin B
2) sin A cos B + cos A sin B

Khushboo asked a question

Subject: Math, asked on on 15/2/18

4 (\sin^{4} 30 ° + \cos^{4} 60 °) - 3 (\cos^{2} 45 ° - \sin^{2} 90 °) = 2

Shivangi Joshi asked a question

Subject: Math, asked on on 29/6/19

evaluate cos 22 degree upon sin 68 degree

Priyanka Das asked a question

Subject: Math, asked on on 8/12/18

15x=?,prove that cos x cos 2x cos 3x cos 4x cos 5x cos6x cos7x=1/2^7

Anindita Sarkar asked a question

Subject: Math, asked on on 30/9/19

Please solve question no.4.

Chavi Garg asked a question

Subject: Math, asked on on 29/10/17

Find
(a)tanx
(b)sinx

Fa asked a question

Subject: Math, asked on on 12/11/17

Solve this:

Q). Without using trigonometric tables, evaluate

\cos e c 17 ° 30' s e c 72 ° 30'