Is there a function satisfying the following equation:

Jazmin Strong

Jazmin Strong

Answered question

2022-04-14

Is there a function satisfying the following equation: f(sinx)+f(cosx)=tanx2

Answer & Explanation

Emelia Leon

Emelia Leon

Beginner2022-04-15Added 18 answers

notice that
sin(x)=cos(π2x)
cos(x)=sin(π2x)
And so
f(sin(x))+f(cos(x))=f(sin(π2x))+f(cos(π2x))
But
tan(x)tan(π2x)

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