Is \sin 2x \geq 0 same as \sin x \cos

plorinosakl

plorinosakl

Answered question

2022-01-30

Is sin2x0 same as sinxcosx0?

Answer & Explanation

goleuedigdp

goleuedigdp

Beginner2022-01-31Added 7 answers

Since
sin2x=2sinxcosx
we have that in general
|sin2x|=|2sinxcosx||sinxcosx|
but
sin2x02sinxcosx0sinxcosx0
therefore sin2x0 and sinxcosx0 have the same solutions.

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