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Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =

Sagot :

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

How do we find the sin, tan, and sec function?

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

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