Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations
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5.4.8 Proving an Identity Prove the following: a) sec x(1 + cos x) = 1 + sec x = sec x + sec x cos x = sec x sec x L.S. = R.S. b) sec x = tan x csc x L.S. = R.S. c) tan x sin x + cos x = sec x L.S. = R.S.
d) sin 4 x - cos 4 x = 1 - 2cos 2 x = (sin 2 x - cos 2 x)(sin 2 x + cos 2 x) = (1 - cos 2 x - cos 2 x) = 1 - 2cos 2 x L.S. = R.S cos 2 x e) L.S. = R.S. Proving an Identity 5.4.9
Proving an Identity f) L.S. = R.S.