How do you simplify sin(x)tan(x)+ cos(x)?

Question

A step-by-step guide would be very appreciated. Thank you in advance.

Answer 1

(sinx)(tanx) + cosx = (sinx)(sinx)/(cosx) + cosx

 

                             = sin²x/cosx + cosx

 

                             = (sin²x + cos²x)/cosx = 1/cosx = secx