Trigonometric Functions
What is the sine of 30 degrees?
1/2
What is the cosine of π/2?
0
What identity is sin²(θ) + cos²(θ) = ?
1
What is the period of sin(x)?
2pi
Which law is best used when given two angles and one side (AAS or ASA)?
Sines
Which trig function is defined as opposite over adjacent?
Tangent
What are the coordinates of the point on the unit circle at 45 degrees?
(√2/2, √2/2)
Solve: sin(x) = 1/2 on the interval [0, 2π].
x=pi/6 , (5pi)/6
What is the amplitude of y = 3cos(x)?
3
State the Law of Cosines formula.
c=Square Root(a^2+b^2−2abcos(C))
What is the secant of an angle, the reciprocal of?
Cosine
Which quadrant is the angle 5π/4 located in?
Quadrant 3
What is the double-angle identity for sin(2θ)?
2sin(θ)cos(θ)
Describe the phase shift of y = sin(x – π/2).
pi/2 to the right
In triangle ABC, if a = 7, b = 9, and angle C = 60°, find side c using the Law of Cosines.
square root(67)
If sin(θ) = 3/5 and θ is in Quadrant 2, what is cos(θ)?
-4/5
Convert 240 degrees to radians.
4pi/3
Simplify: tan²(θ) + 1.
sec²(θ)
Find the period of y = tan(2x).
pi/2
When solving triangles with SSA, which law can lead to an ambiguous case?
Sines
If cot(θ) = 7/24 and θ is in Quadrant 3, what is sin(θ)?
-24/25
If the terminal side of angle θ passes through point (-3, 4), find sin(θ).
4/5
Solve the equation: 2cos²(x) – 1 = 0.
x=pi/4 , (7pi)/4
What is the range of y = 2sin(x) – 1?
[-3, 1]
Given triangle ABC where a = 12, b = 14, and c = 16, find angle C.
75.5 degrees