Question

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

Answer 1

Given

The triangle,

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

Step-by-step explanation:

It is given that,

`\begin{gathered} 10^2+8^2=AC^2 \\ 100+64=AC^2 \\ AC=√(164) \\ AC=2√(41)=12.81 \end{gathered}`

Then,

`\begin{gathered} sinA=(10)/(12.81) \\ =0.7806=0.78 \\ tanA=(10)/(8) \\ =1.25 \\ secA=(12.81)/(8) \\ =1.6012=1.60 \end{gathered}`

Hence, the answers are 0.78, 1.25 and 1.60.