Question

How do you simplify the expression `tan^2thetacsc^2theta`?

Answer 1

Use the formulas `tanbeta = sinbeta/cosbeta` and `csc^2beta = 1/sin^2beta`.

`=sin^2theta/cos^2theta xx 1/sin^2theta`

`=1/cos^2theta`

`=sec^2theta`

Hopefully this helps!