Question 602442
sec theta/tan theta + (1 - tan theta)/sec theta = (1+tan theta)/(sec theta)(tan theta)
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sec/tan + (1 - tan)/sec = (1 + tan)/(sec*tan)  (I'll assume the last den is sec*tan)
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Multiply thru by sec
sec^2/tan + 1 - tan = (1 + tan)/tan = cot + 1
sec^2/tan + 1 - tan = cot + 1
Multiply by tan
sec^2 + tan = 1 + tan
Not an identity.
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You need to make it clear, add parentheses to eliminate guessing at what the terms are.