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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.

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โˆ™ 2009-05-13 03:59:40
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Q: How do you solve the following identity sec x - cos x equals sin x tan x?
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