Trigonometry Sample Questions for SSC CGL Tier 2 Exam

Trigonometry for SSC CGL Exam: The Staff Selection Commission (SSC) conducts the SSC CGL exam every year. As per the selection process of 2024, the SSC has successfully conducted the SSC CGL Tier 1 exam. As the next step, the SSC will conduct the SSC CGL Tier 2 exam. Passing the Tier 2 exam is not an easy task. For the best preparation for the exam, candidates must prepare topic-wise to get a deep insight into the exam. In this blog, we have provided a basic concept about the trigonometry and sample questions that can be asked in the SSC CGL Tier 2 exam. Trigonometry is a topic that belongs to the Quantitative Aptitude section in the Tier 2 exam. Candidates can expect at least 5-9 questions from this topic in the SSC CGL Tier 2 exam. Candidates who are going to appear in the exam must go through this blog carefully.

Concept of Trigonometry

Trigonometry is a topic of quantitative aptitude that deals with the relationships between the angles and sides of triangles, particularly right-angled triangles. The fundamental concept in trigonometry revolves around the ratios of the sides of a right-angled triangle relative to its angles.

Sample Important Questions PDF for Trigonometry

Question 1: What is the minimum value of 4(sin⁴θ + cos⁴θ – 2sin²θcos²θ)?

A) 1

B) 0

C) -1

D) 4

Question 2: When the altitude of the sun changes from 30° to 45°, the length of the shadow of an electricity pole on level ground decreases by 20 cm. What is the height of the electricity pole?

A) 8(√3 – 1) cm

B) 10(√3 – 1) cm

C) 5(√5 + 1) cm

D) 10(√3 + 1) cm

Question 3: If 3(sin²θ + cos²θ) = 4cos²θ, 0° < θ < 90°, the value of (tan²θ + cos²θ + sec²θ) is:

A) (10/7)

B) (15/19)

C) (29/12)

D) (30/13)

Question 4: The difference between the height of a pole and the length of its shadow is 4(√3 – 1) cm. If the height of the pole is 4√3 cm, then find the angle of elevation of the sun.

A) 60°

B) 45°

C) 30°

D) 90°

Question 5: The value of [sec(70°+ θ) – cosec(20°- θ) – cos²64° – cos²26°]/(sin32°cos58° + cos32°sin58°) is:

A) 0

B) -1

C) 1

D) 2

SSC CGL 2024 Tier 2 Free Preparation Resources

Below we are providing the SSC CGL 2024 Tier 2 Free Preparation Resources that contains multiple tests, including section-wise mock tests covering all the sections like English, General Awareness, Quantitative Aptitude, and Reasoning. Practicing these tests will help you revise all these sections in a time-bound manner and also test your skills and knowledge acquired in the last stretch of revision.

Disclaimer: This article has been prepared solely for informational and educational purposes, based on previous exam trends, expert analysis, and publicly available data. It is not an official notification, and the Staff Selection Commission (SSC) — the official conducting authority for the exam — has not endorsed or released the content herein. While every effort has been made to ensure accuracy, exam patterns, schedules, and other details may change, and readers are strongly advised to verify all information with official SSC updates. The practice material and insights provided are intended to support preparation and should not be considered guaranteed exam content. Neither the authors nor PracticeMock accept responsibility for any discrepancies, errors, or outcomes arising from reliance on this article. For authentic information, please refer to the notifications issued by SSC.

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