If cos A = 12/13, and ∠A is in the fourth quadrant, find the exact value of sin2A.

Question

Mathematics

Kaylynn Reyes

30 January, 10:35

If cos A = 12/13, and ∠A is in the fourth quadrant, find the exact value of sin2A.

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Answers (1)

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Rodolfo Valentine · Answer 1

Answer: 0.71

Step-by-step explanation:

we have that cos (A) = 12/13

then:

A = Acos (12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin (2A) = sin (2*202.62°) = 0.71