Question

Determine the sine, cosine, and tangent of the angle.

Answer 1

The correct answer is option d

Explanation:

From the given figure we can see that, a right angled triangle.

Points to remember

Sinθ = Opposite side/Hypotenuse

Cosθ = Adjacent side/Hypotenuse

Tanθ = Opposite side/Adjacent side

Let the angle be θ

To find sine, cosine, and tangent

Sinθ = Opposite side/Hypotenuse = 9/15

Cosθ = Adjacent side/Hypotenuse = 12/15

Tanθ = Opposite side/Adjacent side = 9/12

The correct answer is Option d

Answer 2

Answer: Option d.

Explanation:

You need to use the trigonometric identities:

`sin\theta=(opposite)/(hypotenuse)\\\\cos\theta=(adjacent)/(hypotenuse)\\\\tan\theta=(opposite)/(adjacent)`

Identify the opposite side, the adjacent side and the hypotenuse in the right triangle:

`opposite=9\\adjacent=12\\hypotenuse=15`

Substituting these values into the corresponding identity, you get:

`sin\theta=(9)/(15)\\\\cos\theta=(12)/(15)\\\\tan\theta=(9)/(12)`