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Use the image below to find the value of the indicated trig function. If your answer is not an integer type it as a decimal rounded to the nearest hundredth.right triangle, angle A is opposite leg with measure of 10, other leg has measure of 8, hypotenuse and other angle not givensin(A) = Answertan(A) = Answersec(A) = Answer

Use the image below to find the value of the indicated trig function If your answer is not an integer type it as a decimal rounded to the nearest hundredthright class=

Respuesta :

Given

The triangle,

To find: sin A, tan A, sec A.

Explanation:

It is given that,

[tex]\begin{gathered} 10^2+8^2=AC^2 \\ 100+64=AC^2 \\ AC=\sqrt{164} \\ AC=2\sqrt{41}=12.81 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} sinA=\frac{10}{12.81} \\ =0.7806=0.78 \\ tanA=\frac{10}{8} \\ =1.25 \\ secA=\frac{12.81}{8} \\ =1.6012=1.60 \end{gathered}[/tex]

Hence, the answers are 0.78, 1.25 and 1.60.

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