[Precalculus] Use trigonometric identities to express:
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Remark
Two facts.
1) Tan(x) = Sin(x) / Cos(x)
2) Csc(x) and Sin(x) are reciprocal relationships. When multiplied together, they equal 1.
Solution
So Csc(x) * tan(x) = csc(x) * sin(x) / cos(x) = 1/cos(x) = sec(x)
So far what we have is tan^2(x) + sec(x). We have to get rid of tan^2(x)
Use the identity of 1 + tan^2(x) = sec^2(x)
tan^2(x) = sec^2(x) - 1
sec^2(x) - 1 + sec(x)
a^2 + a - 1 <<<<<< Answer
B is the answer.