Question

prove this question
​

Answer 1

Answer:

Proof : refer below

Step-by-step explanation:

Consider angle = @

sec@ + tan@ = 1/cos@ + sin@/cos@

                     = (1+sin@)/cos@

∴ (sec@ + tan@) * (1 - sin@) = ((1+sin@)/cos@) * (1-sin@)

                                            = cos²@/cos@               (∵ (1+sin@)*(1-sin@) = cos²@)

                                            = cos@ , Hence proved