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How do you solve the following identity sec x - cos x equals sin x tan x?
Wiki User
∙ 14y ago
sec x - cos x = (sin x)(tan x)
1/cos x - cos x = Cofunction Identity, sec x = 1/cos x.
(1-cos^2 x)/cos x = Subtract the fractions.
(sin^2 x)/cos x = Pythagorean Identity, 1-cos^2 x = sin^2 x.
sin x (sin x)/(cos x) = Factor out sin x.
(sin x)(tan x) = (sin x)(tan x) Cofunction Identity, (sin x)/(cos x) = tan x.
Wiki User
∙ 14y ago
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1
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