Question

Rewrite the expression in non radical form without using absolute values for the indicated values of θ. sqrt(sec^2 θ − 1) ; π < θ < 3π/2

Answer 1

The given expression is


`\sqrt{ sec^(2) \alpha -1}`

The expression inside the square root could be simplified using the trigonometric identity: sec^2 theta - 1 = tan^2 theta

Thus, the nonradical form (meaning without roots and fractions) of the expression would be tan theta.