Home
Class 12
MATHS
If x-1/x=2i sin theta," then "x^4-(1)/(x...

If `x-1/x=2i sin theta," then "x^4-(1)/(x^4)=`

A

`2i sin 4theta`

B

`2cos5 theta`

C

`2i cos^5theta`

D

`2cos^5theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -II|58 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

1. If x = at ^(2) , y = 2 at then (dy)/(dx) at t =1 is A 2 If x =cos theta, y = sin theta then (dy)/(dx) at theta = (pi)/(4) is B 3 If x =1 - cos theta, y = sin theta , then (dy )/(dx) at theta = (pi)/(6) is C 4 If x = log sin theta, y = tan theta then (dy)/(dx) at theta = (pi)/(4) is D. The ascending order of A,B,C,D is

"I : If tanh"^2 x = sin^2 theta" then sech x = cos "theta "II : coth x = sec " theta" cosech x = sin " "theta"

If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)/2)=

If x =a ( theta + sin theta), y =a (1 - cos thea) then (d ^(2) y)/(dx ^(2)) at theta = (pi)/(4) is

If f(x) = (cos x + i sin x)(cos 3x + i sin 3x) ….(cos (2n - 1)x + i(sin(2n - 1)x) , then f^(11)(x) is

If angle theta between the line (x+1)/(1) = (y-1)/(2) = (z-2)/(2) and the plane 2x - y + sqrt lamda z + 4 =0 is such that sin theta = 1/3, the value of lamda is

If angle theta between the line (x+1)/(1)=(y-2)/(2)=(z-2)/(2) and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=(1)/(3) then the value of lambda is

If Sin^(-1)x+4Cos^(-1)x=pi , then x =

(i) {:[( cos theta , -sin theta ),( sin theta , cos theta ) ]:}" " (ii) {:[( x^(2) -x+1,x-1),( x+1,x+1) ]:}