Question 923769
Write in terms of sine and cosine:
cos^2(t)(tan^2(t) +1) =?
= cos^2*(sin^2/cos^2 + 1)
= sin^2 + cos^2
= 1
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Simplify the trig expression to a power of a single trig function:

(sec^2 x-1)/(sec^2 x)
= 1 - 1/sec^2
= 1 - cos^2
= sin^2
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