How do you verify the identify costhetacscthetatantheta=1?

1 Answer
Aug 2, 2016

Please see below.

Explanation:

All trigonometric ratios can be easily expressed in terms of sintheta and costheta.

For example, tantheta=sintheta/costheta, cottheta=costheta/sintheta, sectheta=1/costheta and csctheta=1/sintheta

Hence, costhetacscthetatantheta

= costhetaxx1/sinthetaxxsintheta/costheta

= color(red)(cancel(costheta))xx1/cancel(sintheta)xxcancel(sintheta)/color(red)(cancel(costheta))

= 1