Question

evaluate (secq+tanq)(1-sinq)​

Answer 1

Answer:

$(secq+tanq)(1-sinq) \\ \\ = ( \dfrac{1}{cosq} + \dfrac{sinq}{cosq} )(1 - sinq) \\ \\ = \dfrac{1 - {sin}^{2}q }{cosq} \\ \\ = \dfrac{ {cos}^{2}q }{cosq} \\ \\ = cosq$