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


Asked by maham237 @ in Mathematics viewed by 273 People


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

Answered by maham237 @



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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