Question

Mar 06, 7:51:52 PM Simplify to a single trig function with no denominator. 9sec^(2)x-9 Answer: Submit Answer

Answer 1

To simplify the expression 9sec^2(x)-9 to a single trig function with no denominator, use the Pythagorean identity to rewrite it as 9tan^2(x).

Step-by-step explanation:

To simplify the expression 9sec2x-9 to a single trig function with no denominator, we can use the Pythagorean identity which states that sec2(x) = 1 + tan2(x). Using this identity, we can rewrite the expression as:

9(1 + tan2(x)) - 9

Expanding and simplifying:

9 + 9tan2(x) - 9

Which simplifies to:

9tan2(x)