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Alina [70]
3 years ago
14

Find the exact value of cos (1140)°.

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

now let's recall that a full circle has 360°, so then 1140 = 360 + 360 + 360 + 60.

namely, 1140 is 3 full-go-around the circle and then it lands on the I Quadrant at 60°.  Thus cos(1140°) = cos(60°).

what's that cosine of 60°?  Check the picture below.

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Showing the work
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