Use Fundamental identities to simplify the expression sec th

Use Fundamental identities to simplify the expression. sec theta csc theta - 1/cot theta Simplify the expression. sec theta csc theta - 1/cot theta =

Solution

sec theta csc theta - 1/cot theta

1/(sin theta cos theta) - sin theta/cos theta

(1/cos theta)(1/sin theta     - sin theta) = sec theta ((1-sin²theta)/sin theta) = sec theta (cos²theta/sin theta)

                                                                                                                             = cot theta