Which equation could be used to solve for the length of XY? XY = (22) sin (41°) XY = (22) cos (41°) XY = Start Fraction 22 Over cosine (41 degrees) End Fraction XY = Start Fraction 22 Over sine (41 degrees) End Fraction

The answer is D.

Step-by-step explanation:

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Pythagorean's theorem: a² + b² = c²

Sines: sin A = a/c, sin B = b/c.

Cosines: cos A = b/c, cos B = a/c.

Tangents: tan A = a/b, tan B = b/a.

Step-by-step explanation:

For example, if the side a = 22 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. Since sin A = a/c, therefore c = a/sin A = 22/sin 41. Using a calculator, this is 22/0.6561 = 33.5314. Also, tan A = a/b, so b = a/tan A = 22/tan 41 = 22/0.8693 = 25.307.