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blondinia [14]
2 years ago
10

Use the cosine sum and difference identities to find the exact value. COS(5pi/12)

Mathematics
2 answers:
nydimaria [60]2 years ago
8 0
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}
=(2.4495 - 1.4142): 4 = 0.258825
Nina [5.8K]2 years ago
5 0
Square root of 2(square root of 3-1)/4. Honestly apex is trying to mess you up lol
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elixir [45]

Finding the equivalent angle of \theta, the correct statements are given as follows:

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<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

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It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

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The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

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More can be learned about equivalent angles at brainly.com/question/24787111

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