Question

Tan theta multiplied by csc theta equals sec theta ?

Answer 1

Yes it does:

`tan theta csc theta = sin theta/cos theta cdot 1/sin theta = 1/cos theta = sec theta`

Answer 2

`"see explanation"`

Explanation:

`"using the "color(blue)"trigonometric identities"`

`•color(white)(x)sectheta=1/costheta" and "csctheta=1/sintheta`

`•color(white)(x)tantheta=sintheta/costheta`

`rArrtanthetaxxcsctheta`

`=cancel(sintheta)/costhetaxx1/cancel(sintheta)=1/costheta=sectheta`