Question

Rewrite the expression in nonradical form without using absolute values for the indicated values of θ.

sqrt(sec^2 θ − 1)
; π < θ < 3π/2

Answer 1

Whatis the identity that connects sec^2 (theta) and tan^2 (theta)? That may be useful.

Answer 2

1 + tan²θ = sec²θ

Answer 3

right?

Answer 4

That's correct identity. Now solve for \(\tan^2(\theta)\)

Answer 5

tan²θ = sec²θ - 1

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