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For the right triangle shown, which equation is correct?​

For the right triangle shown, which equation is correct?​-example-1

1 Answer

2 votes

Answer: A) sin 59° = cos 31°

Explanation:

Based on the angle and the sides provided, we can establish that

tan 31° = 17/x

Since no hypotenuse is provided and we cannot solve for it, we can rule out options B, C, and D.

We know that the sum of the angles of a triangle is 180°. In a right triangle, we know that one of the angles is 90°, so the other two angles are complimentary --> sin Ф = cos (90 - Ф).

Therefore, option A is true.

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