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N76 [4]
3 years ago
5

Can you please show me how to do this problem. (I will mark Brainliest)

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

Sin A = 0.6896

Cos A = 0.7241

Tan A = 0.9524

Step-by-step explanation:

Using SOH-CAH-TOA

Sin A = Opposite / Hypotenous

         = 20 / 29

         = 0.6896

Cos A = Adjacent / Hypotenous

          = 21 / 29

         = 0.7241

Tan A = Opposite / Adjacent

          = 20 / 21

          = 0.9524

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Alekssandra [29.7K]

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Recall the double angle identity,

sin^2(x) = (1 - cos(2x))/2

If we let x = 13pi/12, then

sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]

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Now, because cosine has a period of 2pi, we have

cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2

Then

sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]

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