SOLUTION: Prove sin^2 x /cos x +sec x =sin x /cot x +1 /cos x is an identity.

Algebra ->  Rational-functions -> SOLUTION: Prove sin^2 x /cos x +sec x =sin x /cot x +1 /cos x is an identity.       Log On


   

Question 1139857: Prove sin^2 x /cos x +sec x =sin x /cot x +1 /cos x is an identity.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

manipulate left side
sin%5E2+%28x%29+%2Fcos%28+x%29+%2Bsec%28+x%29+
=>write sin%5E2+%28x%29+%2Fcos%28+x%29+ as sin%28x%29%2Asin+%28x%29%2Fcos%28x%29 which is equal to sin%28x%29tan%28x%29, and use identities sec%28+x%29+=1%2Fcos%28x%29 and tan%28x%29=1%2Fcot%28x%29
=sin+%28x%29++%2Fcot+%28x%29+%2B1%2Fcos%28x%29->proven