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Find the exact values of sin A and cos A. Write fractions in lowest terms. A right triangle ABC is shown. Leg AC has length 6, leg BC has length 8, and hypotenuse AB has length 10.

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sinA=BC/AB


sinA=8/10=0,8



cosA=AC/AB


cosA=6/10=0,6

Answer with Step-by-step explanation:

We know that

sinФ=Perpendicular/hypotenuse and  cosФ=Base/hypotenuse

Now, we have to calculate the value of sin A and cos A

As we can see from the graph Perpendicular=8

Base=6

and Hypotenuse=10

Hence, sin A=8/10=0.8

and cos A=6/10=0.6

Hence, exact value of sin A=0.8 and exact value of cos A=0.6

           

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