Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)
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Answer:
SinA=3/5
CosA=4/5
TanA=3/4
Step-by-step explanation:
first we have to find what side length bc is using the Pythagorean triple formula a^2+b^2=c^2 or c^2-b^2=a^2
20^2-16^2=144 the square root of 144 is 12 so side length bc=12
so sin is opposite/hypotenuse
the opposite of angle a is 12 and the hypotenuse is 20 so sinA is 12/20 or 3/5
cos is adjacent/hypotenuse
the adjacent of angle a is 16 and the hypotenuse is 20 so cosA is 16/20 or 4/5
tan is the opposite/adjacent
the opposite of angle a is 12 and the adjacent is 16 so tanA is 12/16 or 3/4