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Syllabus

What is componendo and dividendo method? Plz explain.

cos a +cos b =1/3 and sin a +sin b=1/4 prove that tan(1/2(a+b))=3/4

cos20.cos40.cos80=1/8

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

Solve Sinx + Sin3x + Sin5x = 0.

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

solution of ml agarwal for isc 11std

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

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?prove the following :

root 3 cosec 20 - sec 20 = 4

Q: prove that cos

^{3}x+ cos^{3 }( 2pi/3 ) + x ) + cos^{3}(2pi/3 )- x)=3/4cos 3x.prove that tan20 .tan40.tan80=tan60.

sin

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

cos

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

?

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

draw the graph of Sinx, Sin2x and Sin4x

if 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.

cot(2pi+x)=?

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

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

prove that tan 50 = 2 tan 10 + tan40

(i)SIN (X+Y) (ii)COS Y/2

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

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

If theta lies in second quadrant and

tan theta = -5/12find the value of2 cos theta/1-sin thetasin10*sin50*sin70=1/8?

sin 105 degree +cos 105 degree =cos 45 degree

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

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

Can you pls find the value of Tan(-2025).

My answer was -1....Am i right???

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

Prove that sin(a) + sin(a+h) + sin(a+2h) +.........+ sin(a+(n-1)h) =

(sin(nh/2) sin(a+(n-1)h/2)/sin(h/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

the sum of two angles is 80 grades and thier diff. is 18degree fimd the anglea

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)

If cosec(a-b) = 2/3 and sec(a+b) = 2, find the least positive values of a and b.

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

If tanx=2tany, prove that sin(x+y)/sin(x-y)=3

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!!

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

Prove that: 1 / cos( x - a ) cos( x - b) = tan( x - b) - tan( x - a ) / sin( a - b).

Plzzzzz give answer!!!!!!!.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

^{-1 }1/ root 5 + sin^{-1 }2 /root 5 = pi/2prove-

cos

^{2}(pi /8) + cos^{2 (}3pi / 8) +cos^{2}(5pi / 8) +cos^{2 (}7pi / 8) = 2If x

_{1}and x_{2}satisfy the equation x^{log}_{10}^{x}=100x, then the value of x_{1}x_{2 }is???If A+B+C = pai, prove that

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

find the derivative of cotx by the first principle?

If log

_{10}(ab)^{3}=log_{10}(a^{2}b)=1, then the value of log_{10}(ab)???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.

prove sin

^{2}A - sin^{2}B/sinA .cosA- sinB. cosB = tan(A+B)Prove that: cosA cos2A cos4A cos8A =sin16A / 16sinAprove that : sin pi/5 * sin 2pi/5 * sin 3pi/5 * sin 4pi/5 = 5/16

Please explain working

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

5. If tan $\frac{x}{2}$ is rational, which of the following quantities are necessary rational ?

$\left(\mathrm{A}\right)\mathrm{sin}\mathrm{x}\left(\mathrm{B}\right)\mathrm{cos}\mathrm{x}\left(\mathrm{C}\right)\mathrm{sec}\frac{\mathrm{x}}{2}\left(\mathrm{D}\right)\mathrm{tan}\mathrm{x}$

EVALUATE cos(-1125)

Solve sin2x+sin4x+sin6x=0

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

cos20cos40cos60cos80 =1/16

prove :- cos 12 cos 24 cos 48 cos 84 = 1/16