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Syllabus

What is componendo and dividendo method? Plz explain.

a) 1

b) 3

c) 4

d) root 50 (approx 7.07)

e)10

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

a) Choose the possible values of cosec x from the bracket. {-3/5 ,3/5 ,5/3, -5/3 }

b)Evaluate tan x sec x for the x in part (a)

solution of ml agarwal for isc 11std

Provecos 32 + sin 20 + sin 68 cos 56 + cos 144 cos 2 = 0The 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 u pls provide me all formulas in trigonometric functions pls. I have even seen revision notes .

prove the following :

root 3 cosec 20 - sec 20 = 4

prove that tan20 .tan40.tan80=tan60.

Evaluate

sin(pi+ theta) cos(pi/2 + theta) tan(3pi/2 - theta) cot(2pi- theta) / sin(2pi+theta) cos(2pi-theta) cosec (-theta) sin(3pi/2 + theta)

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

cot(2pi+x)=?

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.

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

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

show that

2cos

^{6}x= 64cos^{6}x-96cos^{4}x+36cos^{2}xProve that sin3x + sin 2x – sinx = 4 sinx cos x/2 cos3x/2

draw the graph of sin x , 0 less than or equal to x less than or equal to 2 pi

sin10*sin50*sin70=1/8?

sin 105 degree +cos 105 degree =cos 45 degree

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

Is it right.....?? tan ( 1485 ) = tan ( 2 multiply 360 + 765 )

= tan 765

= tan ( 720 + 45 )

= tan 45 degree.

= 1

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

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

1. An engine pumps 2000kgs of water in 1 minute to an average height of 10m.Calculate the power of the engine if 30% of the energy is wasted in the process.

2. A water pump of power 1.5KW draws water through a mean height of 10m to fill a tank 4m x 3m x 4m. Calculate the time taken to fill the tank

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 = 0^{o}Prove cos5x=16cos

^{5}x-20cos^{3}x+5cosxprove 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:Cos18+Sin18/Cos18-Sin18 = Tan63Please provide me the answer for this question as soon as possible...

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

how the formula sin(2npi+x)=sinx came.why was 2npi avoided

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

If A+B+C = pai, prove that

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

Solve the equation:

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

If 7A = pi , Show that: cosA.cos2A.cos3A = 1/8 .

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) = 2Solve cosec (- 1410 degree)

cosec x= 1/sinx , x not equal to n*pie where n is any integer

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

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

EVALUATE cos(-1125)

prove that

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

Solve sin2x+sin4x+sin6x=0

evaluate the following;

a)cos 1050 degree

b)cosec (-585 degree)

c)cot 495 degree

d)tan 120 degree

prove that

cos20cos40cos60cos80 =1/16

geometrically prove that :

1.sin(X-Y) = sinx.cosy-cosx-siny

2. sin(x+y)=sinx.cosy + cosx.siny

3, cos(x+y)= cosx.cosy-sinx.siny

4.tan(x+y)= tanx+tany/1-tanxtany

5. tan(x'y) =tanx-tany/1+tanxtany