Mathematics: If theta=3pi/4 Sin theta=? Cos theta=?

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If theta=3pi/4 Sin theta=? Cos theta=?

juanitarodrigue

28.01.2022

For ease of writing, θ

$sin(x)=\frac{1}{\sqrt{2} }$

$cos(x)=-\frac{1}{\sqrt{2} }$

Step-by-step explanation:

Our angle is $x=\frac{3\pi }{4}$

To find our answers for $sin(\frac{3\pi}{4} )$ and $cos(\frac{3\pi}{4} )$ , we will need to use a unit circle. (I have attached the image of one).

Recall that the sin of an angle is equal to the y-value of the corresponding ordered pair.

And the cos of an angle is equal to the x-value of the corresponding ordered pair.

For the angle $x=\frac{3\pi }{4}$ , the ordered pair is $(-\frac{1}{\sqrt{2}} }, \frac{1}{\sqrt{2} } )$

This means that

$sin(x)=\frac{1}{\sqrt{2} }$

$cos(x)=-\frac{1}{\sqrt{2} }$

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