How to deterine the exact value of \sin(585^\circ) ?

tressudasikx

tressudasikx

Answered question

2022-02-27

How to deterine the exact value of sin(585) ?

Answer & Explanation

legertopdxa

legertopdxa

Beginner2022-02-28Added 8 answers

When calculating in degrees, sin is periodic with a period of 360 degrees. Hence
sin(585)=sin(225)
In particular, sin(x+180)=sin(x). Hence
sin(225)=sin(45+180)=sin(45)
On the other hand, we know that sin(45)=cos(45)=12. Hence
sin(585)=12

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