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Ulleksa [173]
3 years ago
9

Find cos(2115°) and sin(2115°). Identify the measure of the reference angle.

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

Answer:

Cos(2115°) =1/√2

Sin(2115°) = -1/√2

Step-by-step explanation:

We have to find the values of Cos (2115°) and Sin (2115°).

Now, 2115° can be written as (23×90°+ 45°).

Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.

Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)

Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)

Now, the required reference angle is 45°. (Answer)

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100 100    1/16                 100

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272 100    1/16                 186

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74 100    1/16                 87

74 272    1/16                 173

74 74    1/16                 74

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sample mean   probability

       74              1/16

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    145                1/8

    173                1/8

   186                1/8

   190               1/16

    231               1/8

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