Find the maximum value of `1-sec^4 theta-2sec^2 theta`.

Find the minimum value of sec^2 theta + cosec^2 theta - 4.

Find the minimum value of sec^2 theta + cosec^2 theta - 4.

sec4theta - sec2theta=2

Find the minimum value of sec^2 theta + cos^2 theta + 2

Find the minimum value of sec^(2)theta+csc^(2)theta-4

Find the value of tan theta(1+sec2 theta)(1+sec4 theta)(1+sec8 theta) when theta=(pi)/(32)

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

If cos theta=(2)/(3), find the value of (sec theta-1)/(sec theta+1)

Given tantheta=1/sqrt3 , find the value of ("cosec"^(2)theta-sec^(2)theta)/("cosec"^(2)theta+sec^(2)theta) .

If sec theta=4 , find the value of cos theta/(4cos^2 theta+3sin^2 theta) .