Question

Simplify the expression 1-cos^2(t) / cos^2(t)

Answer 1

Answer:
`\tan^2 t`

Explanation:

`\sin^(2) t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies (1-\cos^(2)t)/(\cos ^2 t)=(\sin ^2 t)/(\cos^2 t)=\tan^2 t`