Given sin theta= -3/5 and csc=-5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity.
Part I: Find the value of cosθ and secθ.

Part II: Using your answers from Part I, find the value of tanθ.

cos θ = -4/5

sec θ = -5/4

tan θ = 3/4

Step-by-step explanation:

sin²θ + cos²θ = 1

(-3/5)² + cos²θ = 1

9/25 + cos²θ = 1

cos²θ = 16/25

cos θ = ±4/5

Since θ is in quadrant III, cos θ < 0.  So cos θ = -4/5.

sec θ = 1 / cos θ

sec θ = -5/4

tan θ = sin θ / cos θ

tan θ = (-3/5) / (-4/5)

tan θ = (-3/5) (-5/4)

tan θ = 3/4

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph