Question

Are the terms CSC, SEC, and COT equivalent to the terms Sin^-1, Cos^-1, and Tan^-1? Are the three pairs of terms the same thing just written differently, or are they entirely different?

Answer 1

Explanation:

It depends on how it is written. By definition

`\csc(x) = (\sin(x))^(-1) = (1)/(\sin(x))`

`\sec(x) = (\cos(x))^(-1) = (1)/(\cos(x))`

`\cot(x) = (\tan(x))^(-1) = (1)/(\tan(x))`

however the functions

`\sin^(-1)(x), \cos^(-1)(x), \tan^(-1)(x)` are the inverse functions of sine, cosine and tangent respectively. So, they are not equivalent functions