Use identities to find the exact value of the indicated trigonometric function of the acute angle θ.  Find cot θ when sin θ =  and cos θ = .

Determine the period of y = sin 3x.

A point on the terminal side of angle θ is (4, -3). Find the exact value of sin θ.

If sin θ = -0.3, find the value of sin θ + sin (θ + 2π) + sin (θ + 4π).

Use transformations to graph y = 5 cos x + 2.

Determine the period of y = sin 5x.

Use identities to find the exact value of the indicated trigonometric function of the acute angle θ. Find cot θ when sin θ =  and cos θ = .

Use transformations to graph y = 3 cos x – 5.

Use identities to find the exact value of the indicated trigonometric function of the acute angle θ. Find tan θ when sin θ =  and cos θ = .

Name the quadrant in which the angle θ lies given that tan θ > 0 and sin θ < 0.