Given that tan θ = - 8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) - 15∕17 C) - 8∕17 D) 8∕17

Answer: C

Step-by-step explanation:

In the quadrant IV, it is only a cos θ that is positive.

Given that tan θ = - 8∕15

Where tan θ = opposite : adjacent

Where opposite = 8 and adjacent = 15

We can find the hypothenus by using pythagorean theorem

Hypothenus = sqrt (15^2 + 8^2)

Hypothenus = sqrt (289)

Hypothenus = 17.

Sin θ = opposite : hypothenus

Sin θ = 8/17

Since Sin θ is also negative in the fourth quadrant, therefore

Sin θ = - 8/17

Option C is correct.