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Syllabus

What is componendo and dividendo method? Plz explain.

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.

cos20.cos40.cos80=1/8

find the derivative of cotx by the first principle?

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

Solve Sinx + Sin3x + Sin5x = 0.

find the general solution for 2sinx +root3 cosx =1+ sinx

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

Q: prove that cos

^{3}x+ cos^{3 }( 2pi/3 ) + x ) + cos^{3}(2pi/3 )- x)=3/4cos 3x.solution of ml agarwal for isc 11std

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

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.

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. proveplease solve my doubts

prove that

1) (1+ cot A +tan A)(sin A - cos A) / sec

^{3}A -cosec^{3}A =sin^{2}A cos^{2}A2) cosec A- sin A= a

^{3}, sec A- cos A=b^{3}prove that : a^{2}b^{2}(a^{2}+b^{2}) =1cotx cot2x - cot2x cot3x-cot3x cotx=1

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

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

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

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

^{3}, SecA - CosA = b^{3}, then Prove That a^{2}b^{2}(a^{2 }+ b^{2}) = 1_{n}= Sin^{n}A + Cos^{n}A, P.T ( i ) : T_{3}- T_{5}/ T_{1}= T_{5}- T_{7}/ T_{3}; ( ii ) : 2T_{6}- 3T_{4}+ 1 = 0 ; ( iii ) : 6T_{10}- 15T_{8}+ 10T_{6}- 1 = 0prove that tan 50 = 2 tan 10 + tan40

find the general solution of cosecx=1+cotx

in any triangleABC P.T

(b

^{2}-c^{2})cotA + (c^{2}-a^{2})cotB + (a^{2}-b^{2})cotC = 0Prove that sin3x + sin 2x – sinx = 4 sinx cos x/2 cos3x/2

In triangle ABC, prove that : a

^{3}sin(B-C) +b^{3}sin(C-A) +c^{3}sin(A-B) = 0sin10*sin50*sin70=1/8?

^{3}Acos 3A + sin^{3}A sin 3A= cos^{3}2Asin 105 degree +cos 105 degree =cos 45 degree

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

prove that aCosA+bCosB+cCosC = 2aSinBCosC

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 that sin

^{2}A/2 + sin^{2}B/2 + sin^{2}C/2 = 1 - 2sinA/2 sinB/2sinC/2cos4 pi /8+ cos4 3pi /8+ cos4 5pi /8 +cos4 7pi/ 8=3/2 prove it fast rely plssss

find the value of sin 750

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

Prove that:

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

sin10sin30sin50sin70=1/16. Prove

cos theta.cos2 theta.cos3 theta=1/4 find theta

prove that cos11+sin11/cos11-sin11=tan56

^{2/3}+(3cosA+cos3A)^{2/3}= 4^{2/3}Prove cos5x=16cos

^{5}x-20cos^{3}x+5cosxprove 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

If cos theta = cos alpha* cos beta ,

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

^{2} beta/2IF 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!!

^{o}. If r is the inradius and R is the circumradius , then 2(r + R) is equal toa) a+b

b) b+c

c) a+c

d) a+b+c

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

prove sin

^{2}A - sin^{2}B/sinA .cosA- sinB. cosB = tan(A+B)Solve the equation:

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

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

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

4/3 cot square 30 degrees + 3 sin square 60 degrees-2 cosec square 60 degrees -3/4 tan square 30 degrees =10/3

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

Prove that:

cos^2A + cos^2B - 2cosAcosBcos(A + B) = sin^2(A + B)

root 3 cosx +sinx = root 2 how to solve?

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 triangle ABC, prove that b=acosC + ccosA and use this result to prove that 2[asin

^{2}C/2 + csin^{2}A/2] = a+c - bProve that: cosA cos2A cos4A cos8A =sin16A / 16sinAPlease explain working

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

in above question hour hand in 4hours 30 minutes =9/2 hours how?EVALUATE cos(-1125)

Prove that

acosB + bcosA = cSolve sin2x+sin4x+sin6x=0

prove:- tan 82.5 = (under root 3 + under root 2) (under root 2 +1)

prove that

cos20cos40cos60cos80 =1/16