1. What is sin(−270°)?

2. For y = 6sin(x/2), the amplitude and period are:

3. In a right triangle with angle 60° and adjacent=4, opposite side=

4. The maximum value of |a·sinθ+b·cosθ| for all θ is:

5. The adjacent side of a 45-45-90 triangle is 7. The hypotenuse is:

6. The range of y=arctan(x) is:

7. What is the exact value of cos(36°)?

8. The graph y = −sin(x) is the graph of y = sin(x) reflected over the:

9. What is sin(−π/3)?

10. What is tan(0°)?

11. For f(x)=arcsin(x), the derivative is 1/√(1−x²). At x=1/2, the slope of tangent to arcsin is:

12. What is sec(60°)?

13. For the equation k·sinθ+3cosθ=5, this has solutions when:

14. What is the period of y=tan(x)?

15. What is the value of sin(π/2)?

16. The Fourier series of f(x)=x on [−π,π] starts with: f(x)=2(sinx − sin2x/2 + sin3x/3 − ...). The coefficient of sin(nx) is:

17. What is sin(3π/4)?

18. The identity sin A + sin B + sin C = 4cos(A/2)cos(B/2)cos(C/2) holds when:

19. What is cos(−π/2)?

20. The number of complete cycles of y = sin(3x) in [0, 2π] is:

21. For the general sine function y=Asin(Bx+C)+D, which parameter affects the midline?

22. Solve: arcsin(x)+arccos(x)=π/3

23. The graph y=cos(x) shifted up 3 has equation:

24. What is sin(45°)?

25. For the Chebyshev polynomial T₅(x) = cos(5·arccos x), expanded:

26. In triangle ABC, a=6, b=8, c=9. Which angle is largest?

27. What is sin(315°)?

28. For a triangle with sides a=b (isosceles) and vertex angle C, the base angles A=B=(π−C)/2. Area=

29. In triangle ABC: A=45°, B=60°, a=5. By law of sines, b =

30. Solve: 4cos²x−3=0 for x in [0,2π)