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WorksheetsYear 12 Advanced Trigonometry Assessment
Total questions: 15
Worksheet time: 8mins
What is the period of the function sin(3x)?
2π
2π/3
3π
π
If sin θ = -1/2 and θ is in the first quadrant, what is cos θ?
-√3/2
√3/2
-1/2
-√3/2
What is the domain of arcsin(x)?
All real numbers
[-1, 1]
[-π/2, π/2]
[0, π]
The equation tan²(x) + 1 = sec²(x) is:
Always true
True only for specific values of x
Never true
True only in the first quadrant
What is the value of sin(2π/3)?
√3/2
1/2
-√3/2
-1/2
If tan θ = 2 and θ is in the first quadrant, what is sin θ?
2/√5
1/√5
2/√3
√2/3
What is the solution set for cos(2x) = 1 in the interval [0, 2π]?
0, π
0, π, 2π
0, π, 2π, nC
0, 2π
The function y = sin(x) + cos(x) has an amplitude of:
1
√2
2
√2/2
What is the value of cos(arctan(1))?
1/√2
1/2
-1/√2
1/√2
If sin A = 1/2 and cos B = -√3/2, what is sin(A+B)?
π/2
π
-π/2
-π
What is the period of sec(2x)?
π
2π
π/2
π
Which of these expressions equals 1?
sin²(x) + cos²(x)
tan²(x) + sec²(x)
cot²(x) + csc²(x)
tan²(x) + 1
The equation sin(2x) = 2sin(x)cos(x) is:
An identity
True only for specific values of x
Never true
True only in the first quadrant
What is the range of y = 2sin(x) + 3?
[1, 5]
[3, 5]
[-2, 2]
[-3, 3]
If θ is in the second quadrant and sin θ = 1/5, what is cos θ?
-√24/5
1/5
-1/5
√24/5
