Evaluate `[[sin^2 theta, 1],[cos^2 theta, 0]]+[[cos^2 theta, 0],[-cosec^2 theta, 1]]+[[0,-1],[-1,0]]`

Prove that cos^2 theta cosec theta+sin theta=cosec theta

Solve sin 2 theta+cos theta=0 .

Evaluate : |{:(1, cosec ^(2) theta, cot ^(2) theta),(-1 , cot ^(2) theta, cosec ^(2) theta),(2,(9)/(2), (5)/(2) ):}| a) -1 b) 1 c) 0 d) None of these

Solve sin^(2) theta-cos theta=1/4, 0 le theta le 2pi .

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0

If |(1+sin^2 theta,sin^2 theta,sin^2 theta),(cos^2 theta,1+cos^2 theta,cos^2 theta),(4sin 4 theta,4sin4theta,1+4sin4theta)|=0, then ... sin 4theta equal to ....

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

Solve cos theta * cos 2 theta * cos 3 theta = (1)/( 4), 0 le theta le pi

Prove that : (sin^(4)theta- cos^(4) theta+ 1) "cosec"^(2)theta=2

If sintheta+sin^2theta=1 , then cos^2theta+cos^4theta =? (a)-1 (b)0 (c)1 (d)2