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belka [17]
2 years ago
14

∠A is an acute angle in a right triangle.

Mathematics
2 answers:
vodomira [7]2 years ago
4 0
5/ 13 is your answer
Elan Coil [88]2 years ago
4 0

Cos A = 12/13

sin^{2}A = 1 - cos^{2}A

Plug in the value of cos A = 12/13

sin^{2}A = 1 - \left ( \frac{12}{13} \right )^{2}

sin^{2}A = 1 - \left ( \frac{144}{169} \right )

sin^{2}A = \frac{169-144}{169}

sin^{2}A = \frac{25}{169}

Sin A = \pm (5/13)

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