Evaluate / Exact Values
Evaluate sin(45°)
√2/2
Find the reference angle for 28°
28°
What is the ratio to find the tangent of an angle?
opposite / adjacent
Find the amplitude and period of the given equation:
y = 8sin(x)
amplitude: 8
period: 2π
Find the exact value of cos(5π/3)
1/2
Find one positive angle and one negative angle that are coterminal with 230°
Answers may vary (ex: 590° , -130°)
What is the ratio to find secant of an angle?
hypotenuse / adjacent
Find the amplitude and period for the function:
y = 1/3 cos(4πx)
amplitude: 1/3
period: 1/2
csc(4π/3)
-2√3/3
What is the reference angle for 7π/6
π/6
Evaluate the six trigonometric functions of θ for a triangle with sides: x, 4, 5 (will be drawn).
sin(θ) = 4/5
cos(θ) = 3/5
tan(θ) = 4/3
csc(θ) = 5/4
sec(θ) = 5/3
cot(θ) = 3/4
Write an equation of the form y = Asin(Bx)+C with amplitude of 1/5 and a period of π.
Answers may vary (ex: y = 1/5sin(2x) )
cot(3π)
undefined
Find one positive and one negative coterminal angle for -11π/3
Answers may vary (ex: π/3 , -5π/3)
From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole?
Set up this scenario as an equation, DO NOT SOLVE
tan(53°) = x/12
Write an equation of the form y = Acos(Bx)+C with amplitude of 7 and a period of 6.
y = 7cos(πx/3)
Evaluate cos-1(-1/2) in Quadrant 2
2π/3
Find the reference angle for -120°
60°
The point (1,-1) is on the terminal side of an angle θ. Find sec(θ).
√2
Sketch the graph for the following equation:
y = 3cos(x/2)
Will be shown