" 16.If "cos theta=(2)/(3)" ,then evaluate "2sec^(2)theta+2tan^(2)theta=-2

If cos theta=(1)/(2), find the value of (2sec theta)/(1+tan^(2)theta)

Find the value of theta if sec^2theta+tan^2theta=1

If cot theta=sqrt(3), find the value of (cos ec^(2)theta+cot^(2)theta)/(cos ec^(2)theta-sec^(2)theta)

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

IF tan ( theta/2) = (2)/(3) , then sec theta =

If tan theta=(1)/(sqrt(7)), find the value of (cos ec^(2)theta-sec^(2)theta)/(cos ec^(2)theta+sec^(2)theta)

If tan theta =(1)/(sqrt(7)) , find the value of ("cosec"^(2)theta-sec^(2)theta)/("cosec"^(2)theta+sec^(2)theta) .

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=