How do you prove #2tan(x)sec(x) = (1/(1-sin(x))) - (1/(1+sin(x)))#?
1 Answer
Dec 14, 2015
See explanation...
Explanation:
Recall these identities involving trig functions:
Quotient Identity:
Reciprocal Identity:
Pythagorean Identity:
Using these, we can rewrite the identity:
We then make common denominators:
And simplify using the Pythagorean Identity from above: