The value of sin(∝) is -√56/15
How to evaluate the sine angle?
The given parameter is:
cos(∝) = -13/15
To determine the sine, we use the following identity
sin^2(∝) = 1 - cos^2(∝)
So, we have:
sin^2(∝) = 1 - (-13/15)^2
This gives
sin^2(∝) = 1 - 169/225
Evaluate the difference
sin^2(∝) = 56/225
Take the square root of both sides
sin(∝) = ±√56/15
sin(∝) is negative in quadrant III.
So, we have:
sin(∝) = -√56/15
Hence, the value of sin(∝) is -√56/15
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