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Syllabus

What is componendo and dividendo method? Plz explain.

if sinx +sin2x +sin3x=siny and cosx+cos2x+cos3x=cosy then x=(in terms of y)cos20.cos40.cos80=1/8

Find the value of tan(-1485.

^{deg}). Please explain with steps and the used formulas.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

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

sin15 + cos105 = ?

prove that tan20 .tan40.tan80=tan60.

find the derivative of cotx by the first principle?

sin

^{4}x+cos^{4}x=1-2sin^{2}xcos^{2}xif cosx=-1/2, find the general solution

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

PROVE THAT

cos

^{3}A + cos^{3}(120+A) + cos^{3}(240+A) = 3/4 cos3Aif 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 that tan 50 = 2 tan 10 + tan40

^{2}theta + sin^{4}theta, then prove that for all the values of theta, 3/4< equal to A < equal to 1.1.(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

show that sin

^{3}(180+A) . tan(360-A) . sec^{2}(180-A) / cos^{2}(90+A)cosec^{2}A . sin(180-A) = tan^{3}A13 sin A+5 sec A divided by 5 tan A + 6cosec A

sin10*sin50*sin70=1/8?

sin 105 degree +cos 105 degree =cos 45 degree

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

If in a triangle ABC a

^{2}-b^{2}/a^{2}+b^{2}=sin(A-B)/sin(A+B), prove that it is

either a right angled or an isosceles triangle.

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

Solve the equation : sin x + sin 2x + sin 3x + sin 4x = 0

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

cos4 pi / 8+cos4 3pi /8 + cos4 5pi / 8 +cos4 7pi /8 =3/2

tan22 + tan23 +tan22tan23 = 1

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

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

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

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

Prove that:

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

minimum value of sec square theta + cosec square theta

in any triangleABC P.T

(b

^{2}-c^{2})cotA + (c^{2}-a^{2})cotB + (a^{2}-b^{2})cotC = 0^{-1 }1/ root 5 + sin^{-1 }2 /root 5 = pi/2Prove cos5x=16cos

^{5}x-20cos^{3}x+5cosxcos theta.cos2 theta.cos3 theta=1/4 find theta

prove 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)

prove that

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

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

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

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) = 2Q: prove that cos

^{3}x+ cos^{3 }( 2pi/3 ) + x ) + cos^{3}(2pi/3 )- x)=3/4cos 3x.If A+B+C = pai, prove that

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

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.

For a triangle ABC, prove that a+b/c=Cos(A-B/2)/SinC/2

prove sin

^{2}A - sin^{2}B/sinA .cosA- sinB. cosB = tan(A+B)find the general solution for 2sinx +root3 cosx =1+ sinx

Prove that: cosA cos2A cos4A cos8A =sin16A / 16sinAPlease explain working

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

^{o}EVALUATE cos(-1125)

Solve sin2x+sin4x+sin6x=0

prove that cos 2pi / 15 cos 4pi / 15 cos 8pi / 15 cos 14pi / 15 = 1 / 16

prove that

cos20cos40cos60cos80 =1/16

cos9^{0}+ sin9^{0}cos9

^{0}- sin 9^{0 }= tan 54^{0}