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| Math Central | Quandaries & Queries |
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Question from sam, a student: I need to prove: tan x (cot x + tan x) = sec2 x I am totally stuck!! |
Hi Sam,
I would write this all in terms of sines and cosines ( tan x = (sin x)/(cos x), sec x = 1/(cos x), ...). Next, clear the fractions. I did this my multiplying both sides by sin x times cos2 x. Simplify.
Harley
Sam, use the identity 1 + tan² (x) = sec² (x).
Cheers,
Stephen La Rocque
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