Question

The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifteen-seventeenths sine theta = negative eight-seventeenths sine theta = eight-seventeenths sine theta = fifteen-seventeenths

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

• If the given point is (x , y), then the angle lies in the 1st quadrant
• If the given point is (-x , y), then the angle lies in the 2nd quadrant
• If the given point is (-x , -y), then the angle lies in the 3rd quadrant
• If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

   triangle whose horizontal leg is 15 units and vertical leg

   is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = $\sqrt{(15)^{2}+(-8)^{2}}=17$ units

∵ sinФ = $\frac{opposite}{hypotenuse}$

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = $\frac{-8}{17}$

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

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