Use the law of cosines to find the value of cos0. Round your answer to two decimal places.
A.0.22
B.0.84
C.0.35
D.-1.04
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Using the law of cosines on the given triangle, we see that; cosθ = 0.22
The law of cosines is expressed as;
c² = a² + b² - 2ab cos C
Now, in this case the angle is θ and employing this law of cosines gives us;
10.2² = 5.7² + 9.8² - 2(5.7 * 9.8)*cosθ
104.04 = 32.49 + 96.04 - 111.72 * cosθ
104.04 = 128.53 - 111.72 * cosθ
(128.53 - 104.04)/111.72 = cosθ
cosθ = 0.22
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