An angle drawn in standard position has a terminal side that passes through the point (√2, √2). What is one possible measure of the angle?
a. 45
b.225
c.315
d.330
In a circle, an arc of length 8π cm is intercepted by a central angle of 2π/3 radians. What is the radius of the circle?
a.3π/16 cm
b. 16π/3 cm
c.16π^2/3
d.12 cm
Two arcs have the same length. One arc is intercepted by an angle of 3π/2 radians in a circle of radius 15 cm. If the radius of the other circle is 25 cm, what central angle intercepts the arc?
a.3π/2 radians
b. 9π/10 radians
c. 7π/6 radians
d. 5π/3 radians
which function has a period of 4π?
a. y=tan4θ
b.y=tan2θ
c.y=tan1/2θ
d.y=tan1/4θ
which function is a phase shift of y=sinθ by 5 units to the left?
y=5sinθ
y=sinθ+5
y=sin(θ+5)
y=sin5θ
which function is a transition of y=cos θ by 5 units down?
a.y= -5cosθ
b.y= cosθ-5
c. y= cos(θ-5)
d. y= cos(-5θ)