Q1. Find the value of cos² 45° − sin² 30°.
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Answer: B. 1/4
1/2 − 1/4 = 1/4.
Trigonometry Questions for SSC CGL (with Answers)
10 Trigonometry MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. Find the value of sin 60° × cos 30°.
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Answer: C. 3/4
(√3/2)(√3/2) = 3/4.
Q3. Find the value of sec²θ − tan²θ.
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Answer: C. 1
sec²θ − tan²θ = 1.
Q4. Find the value of tan 45° + sin 90°.
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Answer: C. 2
1 + 1 = 2.
Q5. Find the value of cos 0° + sin 90° + tan 0°.
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Answer: C. 2
1 + 1 + 0 = 2.
Q6. If tan θ = 5/12 (θ acute), find cos θ.
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Answer: D. 12/13
Hypotenuse = √(5² + 12²) = 13. cos θ = 12/13.
Q7. If tan θ = 35/12 (θ acute), find cos θ.
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Answer: C. 12/37
Hypotenuse = √(35² + 12²) = 37. cos θ = 12/37.
Q8. If tan θ = 35/12 (θ acute), find sin θ.
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Answer: A. 35/37
Hypotenuse = √(35² + 12²) = 37. sin θ = 35/37.
Q9. If tan θ = 12/5 (θ acute), find sec θ.
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Answer: D. 13/5
Hypotenuse = √(12² + 5²) = 13. sec θ = 13/5.
Q10. If tan θ = 9/40 (θ acute), find sec θ.
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Answer: B. 41/40
Hypotenuse = √(9² + 40²) = 41. sec θ = 41/40.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
- Average 56
- Profit and Loss 49
- Number System 47
- Mensuration 46
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Problems on Ages 38
- Compound Interest 36
- Algebra 33
- Simplification 32
- Geometry 29
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Statistics 9
- Pipes and Cisterns 7