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# Pre-Calc 12?

I am currently learning Trig-functions. My teacher gave me an assignment but I wasn't sure how to do these ones

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- PopeLv 71 month ago
One question per ticket. Here is the first one, such as it has an answer at all.

"Express cos(x) in terms of cot(x) and csc(x)."

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I believe you are expected to answer cos(x) = cot(x)/csc(x), but that is not exactly so. The cosine function has the domain of all real numbers, but the cotangent and cosecant functions do not. Take cos(0) as an example.

cos(0) = 1

However, cot(0) and csc(0) are both undefined, and cos(0) cannot be expressed in terms of two undefined values.

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