SSC CGL Quant – Trigonometry – Level 2 · Exam Level · Revision Round

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SSC CGL Quant – Trigonometry – Level 2 · Exam Level · Revision Round – 8 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
5π/6 radians expressed in degrees is:

Correct Answer: C [150°]

Explanation:

π rad = 180° → 5 × 180/6 = 150°.

2.  
The value of sin 60° cos 30° + cos 60° sin 30° is:

Correct Answer: A [1]

Explanation:

3/4 + 1/4 = 1 (it is sin 90°).

3.  
If cos θ = 35/37 and θ is acute, then tan θ is:

Correct Answer: D [12/35]

Explanation:

12-35-37 triangle: opposite √(37² − 35²) = 12, adjacent 35 → 12/35.

4.  
The value of cos 25°/sin 65° + sec 35°/cosec 55° is:

Correct Answer: B [2]

Explanation:

Complements: cos 25° = sin 65° and sec 35° = cosec 55° → 1 + 1 = 2.

5.  
If tan 2θ = cot (θ + 30°), where 2θ and θ + 30° are acute, then θ is:

Correct Answer: A [20°]

Explanation:

2θ + θ + 30° = 90° → θ = 20°.

6.  
A 9 m pole stands on level ground when the sun's elevation is 60°. The length of its shadow is:

Correct Answer: D [3√3 m]

Explanation:

Shadow = 9/tan 60° = 9/√3 = 3√3 m.

7.  
tan² θ − sec² θ (for an acute angle θ) equals:

Correct Answer: C [−1]

Explanation:

sec² θ = 1 + tan² θ → tan² θ − sec² θ = −1.

8.  
A 12 m ladder rests against a vertical wall and makes an angle of 30° with the wall. How high up the wall does it reach?

Correct Answer: B [6√3 m]

Explanation:

The angle with the wall is 30°, so height = 12 cos 30° = 6√3 m (6 m would be the distance of the foot).

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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