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Syllabus

What is componendo and dividendo method? Plz explain.

cos20.cos40.cos80=1/8

Prove that.....Tan 70 = tan 20 + 2 tan 50...

If x, y and z are positive real numbers, such that x+y+z=a, then

(a) 1/x + 1/y + 1/z

>9/a (b) (a-x) (a-y) (a-z)>8xyz (c) (a-x) (a-y) (a-z)<8/27 a^{3}Please give full explanation .

Solve Sinx + Sin3x + Sin5x = 0.

sin 20 sin 40 sin 60 sin 80=3/16

solution of ml agarwal for isc 11std

The chapter trigonometry in RS Aggarwal book (of class 11th) is divided into 6 sub-chapters. But its chapter 5 ( Solution of triangles ) and 6 ( Graphs of trigonometric functions ) are not the topics of NCERT Book.

Now my question is:

Should I study these two chapters (5 &6 of RS Aggarwal) as these are not in NCERT Book?is the equation 2sin^{2}x-cosx+4=0 possibleprove the following :

root 3 cosec 20 - sec 20 = 4

prove that tan20 .tan40.tan80=tan60.

Find the values of theta lying between between 0 degrees and 360 degrees when

1)sin theta=1/2

2)tan theta = -1

3)sec theta = -2

4)sin theta =sin 21 degrees

5)tan theta= -2.0145

6)sin theta=cos 317 degrees

7)cos theta=sin 285 degrees

sin

^{4}x+cos^{4}x=1-2sin^{2}xcos^{2}x?

cos

^{2}x + cos^{2}(x + pi/3) + cos^{2}(x - pi/3) = 3/2. provecotx cot2x - cot2x cot3x-cot3x cotx=1

cos theta + cos 3 theta +cos 5 theta+--------cos(2n-1)theta. solve

sinA . sin(60-A) . sin(60+A) = 1/4 sin3A

Is it possible to have an equation 2sin

^{2}X-cosX+4=0if sin alpha + sin beta= a and cos alpha + cos beta= b, show that

1. Sin(alpha+beta)= 2ab/a sq.+b sq.

2. Cos(alpha+beta)= b sq.-a sq./b sq.+a sq.

prove that cos20 cos 40 cos 60 cos 80=1/16.

prove that cos 10.cos30.cos50.cos70 = 3/16

Prove:Cos18+Sin18/Cos18-Sin18 = Tan63Please provide me the answer for this question as soon as possible...

prove that tan 50 = 2 tan 10 + tan40

1.(1+cos pi/ 8) (1+cos 3pi / 8) (1+cos 5pi / 8) (cos 7pi / 8)=1/8

Express in circular measure and also in degrees the angle of a regular octagon.

Prove that sin3x + sin 2x – sinx = 4 sinx cos x/2 cos3x/2

Q: prove that cos

^{3}x+ cos^{3 }( 2pi/3 ) + x ) + cos^{3}(2pi/3 )- x)=3/4cos 3x.sin10*sin50*sin70=1/8?

sin 105 degree +cos 105 degree =cos 45 degree

can we find the value(in degrees) of tan(4/3)

Prove the following: cosA / 1 - sinA = tan (45 + A/2)

(i) sin(-65)

(ii) cot(-1054)

(iii) tan 1145

(iv) sec 1327

Find the maximum and minimum values of sin^4x + cos^2x and hence or otherwise find the maximum value of sin^1000 x + cox^2008 x

cos4 pi /8+ cos4 3pi /8+ cos4 5pi /8 +cos4 7pi/ 8=3/2 prove it fast rely plssss

PROVE THAT

cos

^{3}A + cos^{3}(120+A) + cos^{3}(240+A) = 3/4 cos3Acos4 pi / 8+cos4 3pi /8 + cos4 5pi / 8 +cos4 7pi /8 =3/2

_{2}< theta_{1}< pi/4, cos(theta_{1}+ theta_{2}) = 3/5 and cos( theta_{1}- theta_{2}) = 4/5, then sin2theta_{1}equal toi) -1

ii) 1

iii) 2

iv) -2

if A+B=45 degree.show that {1+tanA}{1+tanB}=2

Prove that:

4 cosA cos(60-A) cos(60+A) = cos3A

in any triangleABC P.T

(b

^{2}-c^{2})cotA + (c^{2}-a^{2})cotB + (a^{2}-b^{2})cotC = 0Prove cos5x=16cos

^{5}x-20cos^{3}x+5cosxprove that cos11+sin11/cos11-sin11=tan56

prove using sine rule - 1) sin ( B-C)/2 = b-c/a cos ( A/2)

2)1+cos(A-B) cos C / 1+cos(A-C) cos B = a2+ b2/ a2- c2

3) (b-c)cot (A/2) + (c-a)cot (B/2) + (a-b)cot (C/2) = 0

4) a cos(B-C/2) = (b+c) sin(A/2)

5) c/(a-b) = tan(A/2) + tan(B/2) / tan(A/2) - tan(B/2)

6) a(cos C - cos B) = 2(b-c) cos^2 (A/2)

minimum value of sec square theta + cosec square theta

show that tan3x-tan2x-tanx =tan3x*tan2x*tanx

cot(2pi+x)=?

IF cos(alpha + beta) = 4/5 and sin(alpha - beta) = 5/13

FIND THE VALUE OF tan 2 alpha, where 0 is less than equal to alpha is less than equal to pie/4.

plz reply!!

In a circle of diameter 60 cm the length of a chord is 30 cm. Find the length of the minor and the major arcs of the chord. { hint: Triangle OAB being equilateral theta=60 degrees=pie/3 rad

Now minor arc AB=r theta

Also major arc = 2 pie r - minor arc}

Prove that tan4x= (4tanx(1-tan^2x)) / 1-6tan^x+tan^4x

prove that

tan (A+30) + cot (A-30)=1/(sin2A-sin60)

a tree stands vertically on a hill side which makes an angle of 15degree with the horizontal. from a point on the ground 35m down the hill from the base of the tree, the angle of elevation of the top of the tree is 60degree. find the height of the tree.

ans(35root2m) plese tell the xact solution

Solve the equation:

4sinxcosx + 2sinx + 2cosx + 1 = 0

Show that cos 24 + cos 55 + cos 125 + cos 204 + cos 300= 1/2

prove-

cos

^{2}(pi /8) + cos^{2 (}3pi / 8) +cos^{2}(5pi / 8) +cos^{2 (}7pi / 8) = 2Solve the equation : sin x + sin 2x + sin 3x + sin 4x = 0

If A+B+C = pai, prove that

sinA + sinB + sinC = 4 cosA/2 cosB/2 cosC/2

prove that cos^2 x + cos^2 y - 2cosx cosy cos (x+y) = sin^2(x+y)

find the derivative of cotx by the first principle?

The large hand of a big clock is 70 cm long.How many cms. does it's extremely move in 6 minutes time.

The angles of a triangle are in AP and the ratio of the number of degrees in the least to the number of radians in the greatest is 60:

π. Find the angles in degrees and radians.

In any triangle ABC, prove that

c - bcos A / b - ccos A = cos B/ cos C

Urgent

prove sin

^{2}A - sin^{2}B/sinA .cosA- sinB. cosB = tan(A+B)cos (pi/33) cos (2pi/33) cos (4pi/33) cos (8pi/33) cos (16pi/33) = 1/32

Prove that: cosA cos2A cos4A cos8A =sin16A / 16sinAevaluate the following;

a)cos 1050 degree

b)cosec (-585 degree)

c)cot 495 degree

d)tan 120 degree

Please explain working

prove that 1+cos2x+cos4x+cos6x= 4cosx cos2x cos3x.

Consider a triangle with sides 3,6,8 cm respectivelty.Now if a man runs around the triangle in such a way that he is always at a distance of 1cm from the sides of triangle then how much distance will he travel.

EVALUATE cos(-1125)

2sin6 + cosec 7pi/6 cos^{2}pi/^{2}pi/3=0Solve sin2x+sin4x+sin6x=0

prove that

cos20cos40cos60cos80 =1/16