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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...

Solve Sinx + Sin3x + Sin5x = 0.

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

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

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}xevaluate the following;

a)cos 1050 degree

b)cosec (-585 degree)

c)cot 495 degree

d)tan 120 degree

cos

^{2}x + cos^{2}(x + pi/3) + cos^{2}(x - pi/3) = 3/2. provecot(2pi+x)=?

cotx cot2x - cot2x cot3x-cot3x cotx=1

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

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.

2sin6 + cosec 7pi/6 cos^{2}pi/^{2}pi/3=0prove that cos20 cos 40 cos 60 cos 80=1/16.

cos 2x cos 2y + cos^2 (x+y) - cos^2 (x-y) = cos(2x+2y)

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

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

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

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

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

sin10*sin50*sin70=1/8?

why the function changes on 90 degree and 270 degree. for eg. cos becomes sine and tan becomes cot.Reply fast. thnx.......

sin 105 degree +cos 105 degree =cos 45 degree

5 tan

^{4}x-1=4 tan^{2}x.find general solutionProve the following: cosA / 1 - sinA = tan (45 + A/2)

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 .

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

If sec theta = - root 2 , and 3pi/2

Urgent. pls. Thnx.

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

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

A denotes the product xyz where x, y, z satisfy

Log

_{3}x=log5-log7Log

_{5}y=log7-log3Log

_{7}z=log3-log5Find A??

Prove that:

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

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

in any triangleABC P.T

(b

^{2}-c^{2})cotA + (c^{2}-a^{2})cotB + (a^{2}-b^{2})cotC = 0If tanx=2tany, prove that sin(x+y)/sin(x-y)=3

Prove cos5x=16cos

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

cosec x- cosec 2x = cosec4x

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)

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

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

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

(i) sin(-65)

(ii) cot(-1054)

(iii) tan 1145

(iv) sec 1327

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!!

1) cos 160 degree + sin 70 degree = 0

2) cos 25 degree .tan 65 degree .cot 115 degree .sec 155 degree = 1

3) sin (A + B) + cos (A - B) = (sin A + cos B) (sin B + cos B )

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

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

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

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) = 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?

^{o}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)its urgent tomorrow is exam

Prove that: cosA cos2A cos4A cos8A =sin16A / 16sinAWhat is the value of

2cos(pi)/13cos(9pi)/13 + cos(3pi)/13 + cos(5pi)/13 ?

Please explain working

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

(A) sin 1 < sin 2 < sin 3 (B) cos 3 < cos 2 < cos 1

(C) cos 2 < cos 1 < cos 3 (D) sin 3 < sin 1 < sin 2

EVALUATE cos(-1125)

Solve sin2x+sin4x+sin6x=0

prove that

cos20cos40cos60cos80 =1/16