Find the primary solution of cosθ=−0.3
1 answer:
The solution of cos θ = −0.3 is θ = 107.45760312 degrees
<em><u>Solution:</u></em>
Given that we have to find the primary solution of
To solve this equation, you must find the unknown (theta)
Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta
We know that arccos (-0.3) = 107.45760312 degrees
[ If you reference a unit circle or use a calculator ]
Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees
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Then, by the white portion being one quarter of the circle (90° out of 360°), I could calculate the that pink shaded region = the total square (6×6) minus the white sector.
So area (A) of white sector (s): A(s) = 1/4×pi×r^2
36 - 28.27 = 7.73