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Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)

Find The Sine Cosine And Tangent Of Angle A Fraction As In Simplest Form Please class=

Sagot :

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

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