Answered: a) sin2x = tanx(1 + cos2x) b)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.5: Product-to-sum And Sum-to-product Formulas

Problem 2E

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Can you prove each trigonometric identity and also use proper mathematical form to solve the questions. Show all work that got you the answer please and thanks.

a) sin2x tanx(1 + cos2x)
b)
cos²x-sin²x
cos2x+sinxcosx
c) secx =
sin 2x
sin x
= 1
-
tanx
cos 2x
COS X
d) sec² x + csc² x = (tanx + cotx)²

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a) sin2x = tanx(1 + cos2x) b) cos²x-sin²x cos²x+sinxcosx c) secx = sin 2x sin x - tanx cos 2x cos x d) sec² x + csc² x = (tanx + cotx)²