In the diagram below, = . what is the value of m?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 278 People

What are the values of M and theta in the diagram below

Answered by maham237 @ 22/12/2020

Answer:

The correct answer is m= $\frac{\sqrt{3} }{2}$ and θ = 30º.

Step-by-step explanation:

First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is $\frac{1}{2}$ and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) = $\frac{\frac{1}{2} }{H}$

where H is the hypotenuse, in this case, the radio.

θ = $sin^{-1}$ ( $\frac{\frac{1}{2} }{1}$ )

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) = $\frac{m}{H}$

m = cos 30º * H

m = $\frac{\frac{\sqrt{3} }{2} }{1}$

m = $\frac{\sqrt{3} }{2}$

Have a nice day!

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