How do I put \(\displaystyle{\sin{{\left(-{3}\frac{\pi}{{4}}\right)}}}\) in radical

Rubi Riggs

Rubi Riggs

Answered question

2022-04-16

How do I put sin(3π4) in radical form?

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-17Added 14 answers

You can do it in several ways. One way
sin(θ)=sin(θ) and sin(πθ)=sin(θ)
So, sin(3π4)=sin(3π4)=sin(ππ4)=sin(π4)
=12 or 22
wyjadaczeqa8

wyjadaczeqa8

Beginner2022-04-18Added 14 answers

3π4 is in Quadrant III, so you know that sin(θ)<0,cos(θ)<0, but it is still a 4545 right triangle, though rotated and flipped upside down… you might want to draw this out in quadrant III.
sin(45)=11, therefore sin(3π4)=12=(12)(22)=22

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