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daydallas01
14.08.2020 •
Mathematics
Let (8,−3) be a point on the terminal side of θ. Find the exact values of cosθ, cscθ, and tanθ.
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Ответ:
Step-by-step explanation:
From the picture attached,
(8, -3) is a point on the terminal side of angle θ.
Therefore, distance 'R' from the origin will be,
R =![\sqrt{x^{2}+y^{2}}](/tpl/images/0722/3181/55833.png)
R =![\sqrt{8^{2}+(-3)^2}](/tpl/images/0722/3181/e1f72.png)
=![\sqrt{64+9}](/tpl/images/0722/3181/a2b8f.png)
=![\sqrt{73}](/tpl/images/0722/3181/f0624.png)
Therefore, Cosθ =![\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}](/tpl/images/0722/3181/802da.png)
Sinθ =![\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }](/tpl/images/0722/3181/3895d.png)
tanθ =![\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}](/tpl/images/0722/3181/4c820.png)
Cscθ =![\frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}](/tpl/images/0722/3181/c3dcd.png)
Ответ:
e
Step-by-step explanation: