Trigonometric Functions – All Six Functions, Signs, Allied Angles

Grade 11 Maths Higher — Trigonometric Functions – All Six Functions, Signs, Allied Angles: 25 practice questions with instant scoring and explanations.

1. The six trigonometric functions are:
2. In which quadrant are all trigonometric functions positive?
3. In the second quadrant, sin θ is ____ and cos θ is ____:
4. In the third quadrant, tan θ is ____ and cosec θ is ____:
5. The angles with the same trigonometric ratios as angle θ are called:
6. sin(90° - θ) =
7. tan(180° + θ) =
8. cos(180° - θ) =
9. sec θ = 1/____:
10. cot θ = 1/____ = cos θ/____:
11. The mnemonic 'ASTC' stands for which trig functions are positive in each quadrant:
12. sin(270° + θ) =
13. If sin θ = 3/5 and θ is in the second quadrant, then cos θ =
14. tan(270° - θ) =
15. In the fourth quadrant, the positive trigonometric functions are:
16. sin(-θ) =
17. cos(360° - θ) =
18. If tan θ = -1 and θ is in the second quadrant, then θ =
19. The relationship between tan θ and cot θ is:
20. sin(θ + 180°) =
21. If cos θ = -1/2 and θ ∈ (90°, 180°), then sin θ =
22. The value of sec θ when θ = 60° is:
23. cosec θ = 1/____:
24. cot(-θ) =
25. For θ in the third quadrant where sin θ = -3/5, the value of tan θ is: