Question

How do you verify the identity `tan^4x+tan^2x-3=sec^2x(4tan^2x-3)`?

Answer 1

Verify trig equation.

Explanation:

Develop the right side of the equation by using the trig identity:
`sec^2 x = (1 + tan^2 x)`
`RS = (1 + tan^2 x)(4tan^2 x - 3)`
`RS = 4tan^2 x - 3 + 4tan^4 x - 3tan^2 x`
`RS = 4tan^4 x + tan^2 x - 3 =` Left side.