`cos(54 0^(@)-theta)-sin(63 0^(@)-theta)` is equal to

1-(sin^(3)theta)/(sin theta+cos theta)-(cos^(3)theta)/(sin theta+cos theta) is equal to

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

If sin theta_(1)+sin theta_(2)+sin theta_(3)=3, then cos theta_(1)+cos theta_(2)+cos theta_(3) is equal to 3(b)2(c)1(d)0

(sin theta)/(1-cot theta)+(cos theta)/(1-tan theta) is equal to (a) 0 (b) 1(c)sin theta+cos theta(d)sin theta-cos theta

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

If cos theta+sec theta=-2,theta in[0,2 pi] then sin^(8)theta+cos^(8)theta is equal to