Question

How do you prove `cos(x)tan(X) + sin(x)cot(x) = sin(x) + cos^2(x)`?

Answer 1

Cannot be proven.

Explanation:

Know that: `{(tan(x)=sin(x)/cos(x)),(cot(x)=cos(x)/sin(x)):}`

Thus,

`cos(x)tan(x)+sin(x)cot(x)`

`=cos(x)/1(sin(x)/cos(x))+sin(x)/1(cos(x)/sin(x))`

`=sin(x)+cos(x)`

Thus, the identity is invalid and cannot be proven.