Question

Solve `sin2x = cos2x`?

Answer 1

`x=npi/2+pi/8`, where `n` is an integer.

Explanation:

`sin2x=cos2x` can be written as

`(sin2x)/(cos2x)=1`

`tan2x=1`

`2x = tan^"–1"1`

Hence, `2x=npi+pi/4`

i.e. `x=npi/2+pi/8`, where `n` is an integer.