SOLUTION: Multiply and simplify. (sin x - cos x)(sec x + csc x)

Algebra ->  Trigonometry-basics -> SOLUTION: Multiply and simplify. (sin x - cos x)(sec x + csc x)      Log On


   

Question 928302: Multiply and simplify.
(sin x - cos x)(sec x + csc x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply and simplify.
(sin x - cos x)(sec x + csc x)
----
= sin(x)(sec(x)+csc(x)) - cos(x)(sec(x)+csc(x))
----
= tan(x)+1 - (1-cot(x))
----
= tan(x) + cot(x)
======================
Cheers,
Stan H.
----------------