Home
Class 11
MATHS
x=cos^2(theta)/2 then (dx)/(d theta)...

`x=cos^2(theta)/2` then `(dx)/(d theta)`

A

`(1/2)costheta`

B

`costheta`

C

`(-1/2)sin 2theta`

D

`(-sintheta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    PATHFINDER|Exercise QUESTION BANK|25 Videos

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

If (cosx)/a=(cos(x+theta))/b=(cos(x+2theta))/c=(cos(x+3theta))/d then (a+c)/(b+d) is equal to (a) a/d (b) c/b (c) b/c (d) d/a

If y=(1+sin theta+cos theta)/(1+sin theta-cos theta)," show that, " (dy)/(d theta)+(1)/(1-cos theta)=0 .

If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal to sin^2theta+sin^2beta (b) sin^2theta+cos^2beta cos^2theta+cos^2theta (d) cos^2theta+sin^2beta

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).

Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

Let f_n(theta)=(cos(theta/2)+cos2theta+cos((7theta)/2)+....+cos(3n-2)(theta/2))/(sin(theta/2)+sin2theta+sin((7theta)/2)+....+sin(3n-2)(theta/2)) then (a) f_3((3pi)/(16))=sqrt(2)-1 (b) f_5(pi/(28))=sqrt(2)+1 (c) f_7(pi/(60))=(2+sqrt(3)) (d) none of these

Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+sin theta cos theta

If x=2cos theta -cos2 theta and y=2sin theta -sin2 theta , find (d^2y)/(dx^2) at theta=pi/2 .