Question

Let (3, -2) be a point on the terminal side of 0.

Answer 1

Answer:

sinθ = -0.554

tanθ = -0.667

secθ = 1.203

Step-by-step explanation:

Consider the point (3, -2)

The value of x is positive and the value of y is negative.

It means the the terminal sides of angle lies in 4rth quadrant, such that:

Base = 3

Perpendicular = 2

Hypotenuse² = 2² + 3²

Hypotenuse =  3.61

sinθ = Perpendicular /Hypotenuse

sinθ = 2/3.61

As sine is negative in 4rth quadrant

sinθ = - (2/3.61)

sinθ = -0.554

tanθ = Perpendicular/ Base

tanθ = 2/3

tanθ = 0.667

As tan is negative in 4rth quadrant

tanθ = -0.667

secθ = Hypotenuse/Base

secθ = 3.61/3

secθ = 1.203

secant is positive in 4rth quadrant