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Syllabus

What is componendo and dividendo method? Plz explain.

2U6 - 3U4 is equal to??

(a) 0 (b) 1 (c) -1 (d) none of these

(U4-U2)^2 is equal to ???

(a)1/4sin^4 2thita (b)sin^4 2thita (c)4sin^4 2thita (d) none of these

cos20.cos40.cos80=1/8

cot(2)cot(3) - cot(5)cot(3) - cot(2)cot(5) =

(A) sec(2010Pi)

(B) cos(2012Pi/4)

(C) tan(2001Pi/4)

(D) cosec(810

^{.})Prove that.....Tan 70 = tan 20 + 2 tan 50...

Solve Sinx + Sin3x + Sin5x = 0.

prove that --> tan(A+B/2)=xtanA+yTanb/x+y

tan(A-B/2)=xtanA-yTanb/x+y

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

^{2}+ y^{2})(x^{2}+ y^{2}-3)=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

prove that tan20 .tan40.tan80=tan60.

6sin20-8sin^3(20)

sin

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

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

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!!

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

Find the general solution of the equation : cosec x =-2/root 3

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.

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

prove that tan^pi/16 + tan^2pi/16 +.........+tan^7pi/16 = 35

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

a. 2 b. 4 c. 6 d. 8

prove that tan 50 = 2 tan 10 + tan40

^{3}7pi/2-x] / [cos(x-pi/2)tan(3pi/2 + x)] simplifies to^{2}x^{2}x^{2}x)^{2}x1.(1+cos pi/ 8) (1+cos 3pi / 8) (1+cos 5pi / 8) (cos 7pi / 8)=1/8

find the value of 4530 degree.

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

Solve root 3 cos x - sin x = 1

sin10*sin50*sin70=1/8?

IF tan 20 , x , tan 50 are in an A.P., tan 20 , y, tan 70 are in another A.P., find the relation between x and y.

sin 105 degree +cos 105 degree =cos 45 degree

cos alpha +cos beta =1/3 and sin alpha + sin beta =1/4 , prove that cos alpha-beta/2 =

+5/24Prove the following: cosA / 1 - sinA = tan (45 + A/2)

13 sin A+5 sec A divided by 5 tan A + 6cosec A

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

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

if cosx=-1/2, find the general solution

PROVE THAT

cos

^{3}A + cos^{3}(120+A) + cos^{3}(240+A) = 3/4 cos3Aif A+B=45 degree.show that {1+tanA}{1+tanB}=2

draw the graph of Sinx, Sin2x and Sin4x

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+5cosxThe maximum value of the expression 1/ sin

^{2 }theta+3 sin theta.costheta + 5 cos^{2 }theta is:-(i) 2 (ii) 1/2 (iii) 1 (iv) None of these

prove that cos11+sin11/cos11-sin11=tan56

solve: tan 15/2

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)

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

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

the value of 3+cot76cot16/cot76 +cot 16 is

Solve the equation:

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

the value of tan 5pi/12 - tan pi/12

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

tan x + tan 2x +root 3 tan x tan 2x= root 3

prove-

cos

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

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)If cos theta = cos alpha* cos beta ,

prove that , tan theta+alpha / 2 * tan theta- alpha /2 = tan

^{2} beta/2Prove that: cosA cos2A cos4A cos8A =sin16A / 16sinAPlease explain working

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

sin

^{2}x - cosx = 1/4EVALUATE cos(-1125)

find the general solution of tanx + cotx = 2cosecx

Solve sin2x+sin4x+sin6x=0

if sec x = root 2, find the value of (1+tan x+cosec x) / (1+cotx-cosecx)?

prove that

cos20cos40cos60cos80 =1/16