How do you find the sine, cosine, and tangent ratios for Angle X and Angle Y, if this triangle is a right triangle, the hypotenuse (XY) is 13 in length, the base (XZ) is 12 in length, and the leg (YZ) is 5 in length?

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How do you find the sine, cosine, and tangent ratios for Angle X and Angle Y, if this triangle is a right triangle, the hypotenuse (XY) is 13 in length, the base (XZ) is 12 in length, and the leg (YZ) is 5 in length?

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Answer 1 · 2015-10-12T21:22:06

Using the definitions of the trig ratios, #sintheta=(opposite)/(hypoten use), costheta=(adjacent)/(hypoten use),tantheta=(opposite)/(adjacent) #, we get :

Explanation:

From the definitions of the trig ratios we get :

#sinX=5/13#
#cosX=12/13#
#tanX=5/12#

#SinY=12/13#
#cosY=5/13#
#tanY=12/5#

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How do you find the sine, cosine, and tangent ratios for Angle X and Angle Y, if this triangle is a right triangle, the hypotenuse (XY) is 13 in length, the base (XZ) is 12 in length, and the leg (YZ) is 5 in length?

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Explanation:

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