Evaluate the following expression.(x ≠ π/2+πn,where n is a whole number) Tan⁷x sec²x - tan⁷x A)9 tan⁹x B)tan²x C)tan⁹x D)7 tan⁷x E)tan⁷x

Name: Evaluate the following expression.(x ≠ π/2+πn,where n is a whole number) Tan 7 x sec 2 x - tan 7 x A)9 tan 9 x B)tan 2 x C)tan 9 x D)7 tan 7 x E)tan 7 x
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Question

Quizplus · Accepted Answer

The expression can be simplified as tan^7(x) sec^2(x) - tan^7(x) = tan^7(x) (sec^2(x) - 1). Since sec^2(x) - 1 = tan^2(x), the expression becomes tan^7(x) * tan^2(x) = tan^9(x).

Evaluate the Following Expression