Question

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

Answer 1

Answer: Option d.

Step-by-step explanation:

You need to use the trigonometric identities:

$sin\theta=\frac{opposite}{hypotenuse}\\\\cos\theta=\frac{adjacent}{hypotenuse}\\\\tan\theta=\frac{opposite}{adjacent}$

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:

$sin\theta=\frac{9}{15}\\\\cos\theta=\frac{12}{15}\\\\tan\theta=\frac{9}{12}$

Answer 2

Answer:

The correct answer is option d

Step-by-step 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