Question

How do you answer this question?: Find the complete solution in radians: sin^2(θ) -1=cos^2(θ)

Answer 1

`t = pi/2 + kpi`

Explanation:

Use trig identity:
`cos^2 t - sin^2 t = cos 2t`
In this case:
`sin^2 t - cos^2 t - 1 = 0`
`-cos 2t - 1 = 0`
`cos 2t = - 1`
Unit circle gives:
`2t = pi + 2kpi`
`t = pi/2 + kpi`, or