Q.8Which ofthe following is anilpotent matrix(1)0 1(2) | sin theta(2) sin0cose!4i(3)

Which of the following is true for z=(3+2i sin theta)//(1-2 i sin theta) , where i=sqrt(-1) ?

If sin^(2)theta_(1)+sin^(2)theta_(2)+sin^(2)theta_(3)+sin^(2)theta_(4)=0 then which of the following cannot be the value of cos theta_(1)+cos theta_(2)+cos theta_(3)+cos theta_(4)

Solve the following: sin theta + sin 2 theta + sin 3 theta + sin 4 theta=0

Solve the following equation: k 4sin^(2)theta-8cos theta+1=0

What is the inverse of the matrix A= ({:(cos theta, sin theta ,0),(- sin theta, cos theta,0),(0 , 0, 1):})

Solve the following equation: sintheta+sin2theta+sin3theta+sin4theta=0

Prove that following 3sin theta-sin3 theta=(4sin theta)/(1+cot^(2)theta)

Prove the following : 8sin^4(1/2theta)-8sin^2(1/2theta)+1=cos2theta

Prove the following identity : 2 (sin^6 theta+ cos^6 theta)-3 (sin^4 theta+ cos^4 theta)+1=0 .