The value of (sintheta+i cos theta)^n is...

The value of `(sintheta+i cos theta)^n` is (A) `sin n theta+i cos ntheta` (B) `cos ntheta-i sin n theta` (C) `cos ((npi)/2- ntheta)+is sin ((npi)/2- ntheta)` (D) none of these

AI Generated Solution

Similar Questions

Explore conceptually related problems

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

The value of cos^4theta+sin^4theta-6cos^2theta is (a) cos2theta (b) sin2theta (c) cos4theta (d) none of these

([cos theta+i sin theta)/(sin theta+i cos theta))^(4)=?

(2 sin theta*cos theta - cos theta)/(1-sin theta+sin^2 theta-cos^2 theta) = cot theta

Prove that cos theta cos 2 theta cos 4 theta…. Cos 2 ^(n-1) theta = ( sin ( 2 ^(n) theta))/( 2 ^(n) (sin theta)) .

if a cos theta + b sin theta = c. then what is the value of a sin theta -b cos theta

Using induction, prove that cos theta · cos 2theta · cos 2^2 theta. ... cos 2^(n-1) theta =(sin2^n theta)/(2^n sin theta)

The value of (2(sin2theta+2cos^2theta-1))/(costheta-sintheta-cos3theta+sin3theta) is a.\ costheta b. sectheta c. cosectheta d. sintheta

If sin^(3) theta+sin theta cos theta+ cos^(3) theta=1 , then theta is equal to (n in Z)

Prove that ( cos theta + cos 2 theta + cos 3 theta + cos 4 theta)/(sin theta + sin 2 theta + sin 3 theta + sin 4 theta)= cot ""(5theta)/(2).