Question #4d95b

1 Answer
Apr 8, 2017

(sec x + csc x)/(sin x + cosx) * sin 2x = 2

Taking the left hand side,

(sec x + csc x)/(sin x + cosx) * sin 2x

= (1/cosx + 1/sin x)/(sin x + cos x) * sin 2x

= ((sin x + cos x)/(sin x cos x))/(sinx + cosx) * sin 2x

sin x + cos x cancel out
recall the identity sin 2x = 2 sin x cos x

= 1/(sin x cos x) * 2 sin x cos x

= 2