Question

Which of the following is correct based on this picture? A. sinY=38/63B. none of these are correctC. tanY=38/63D. cosY=38/63

Answer 1

A. sin Y = 38/63

Step-by-step explanation

Given:

What to find:

To find the correct trigonometric function of the given diagram.

Step-by-step solution:

Using the trigonometric function: SOH CAH TOA

`\begin{gathered} SOH\text{ }is\text{ }sin\text{ }\theta=(Opposite)/(Hypotenuse) \\ \\ CAH\text{ }is\text{ }cos\text{ }\theta=(Adjacent)/(Hypotenuse) \\ \\ TOA\text{ }is\text{ }tan\text{ }\theta=(Oppos\imaginaryI te)/(Adjacent) \end{gathered}`

From the diagram, θ = Y, Opposite = 38, Hypotenuse = 63

So the correct trigonometric function based on the given picture will be:

`sin\text{ }Y=(38)/(63)`

Thus, the correct answer is option A. sin Y = 38/63