Question

1/sin^2x + 1/cos^sx = 1/sin^2x-sin^4x verify identity

Answer 1

\[\large\frac{1}{\sin^2x} + \frac{1}{\cos^2x} = \frac{1}{\sin^2x - \sin^4x}\]

Is this what you have to verify?

Answer 2

yes

Answer 3

just combine fractions .... common denominator is sin^2 cos^2

note Pythagorean identity
sin^2 + cos^2 = 1