Question

In the triangle, cos A = 8/17. Find Sin A
15/17
8/15
17/15
15/8

Answer 1

Answer: 15/17

Explanation:

Cos A = 8/17

Recall that cos = adjacent/hypotenuse

Since the hypotenuse is 17 and the adjacent is 8, the value of the opposite which is the remaining side of the triangle will be:

Let the side be x

x² = 17² - 8²

x² = 289 - 64

x² = 225

x = ✓225

x = 15

The remaining side has a value of 15

Recall that sin = opposite/hypotenuse

Sin A = 15/17

Answer 2

Explanation:

Let's first have a look at the basic trigoniometric statements, which say the following:

`\sin( \alpha ) = (opposite \: side)/(hypotenuse) \\ \cos( \alpha ) = (adjecent \: side)/(hyptenuse)`

When we're looking from the point of view of angle G, we have the following data:

Since the hypotenuse is 17

adjacent is 8,

the value of the opposite is x:

Let the side be x

`x^2 = 17^2 - 8^2\\\\x^2 = 289 - 64\\\\x^2 = 225\\\\x = √(225) \\\\x = 15`

- The length of the opposite side is 15

- The length of the adjecent side is 8

- The length of the hypotenuse is 17

Now plug in this data into our general formulae.

`\sin(g) = (15)/(17) \\ \cos(g) = (8)/(17)`

Hence, answer B. is correct.

~ Hope this helps you!