How do I change \(\displaystyle{\csc{{x}}}+{\cot{{x}}}\) into

Kiara Haas

Kiara Haas

Answered question

2022-03-26

How do I change cscx+cotx into 1cscxcotx?

Answer & Explanation

Jesse Gates

Jesse Gates

Beginner2022-03-27Added 19 answers

Notice that the difference of two squares:
(cscx+cotx)(cscxcotx)=csc2xcot2x=1sin2xcos2xsin2x=sin2xsin2x=1
so indeed,
cscx+cotx=1cscxcotx

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