If cos θ = 15/17 (θ acute), what is tan θ?
- A17/8
- B8/17
- C15/8
- D8/15
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Answer: (D) 8/15
sin θ = 8/17, so tan θ = sin θ / cos θ = 8/15.
SSC CHSL Trigonometry Questions with Answers & Explanations
19 Trigonometry questions from the Quantitative Aptitude section of SSC CHSL, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.
What is the value of sin 90° − cos 90°?
- A0
- B−1
- C1
- D2
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Answer: (C) 1
Use the standard trigonometric values and identities.
If sin θ = 5/13 (θ acute), what is cos θ?
- A12/5
- B13/12
- C12/13
- D5/12
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Answer: (C) 12/13
cos θ = √(1 − sin²θ) = 12/13.
What is the value of sin 90° − cos 90°?
- A2
- B−1
- C0
- D1
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Answer: (D) 1
Use the standard trigonometric values and identities.
What is the value of 2 sin 30° cos 30°?
- A1/2
- B√3/2
- C√3
- D1
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Answer: (B) √3/2
Use the standard trigonometric values and identities.
If sin θ = 7/25 (θ acute), what is cos θ?
- A24/7
- B25/24
- C24/25
- D7/24
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Answer: (C) 24/25
cos θ = √(1 − sin²θ) = 24/25.
What is the value of sec² 60° − tan² 60°?
- A3
- B4
- C1
- D0
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Answer: (C) 1
Use the standard trigonometric values and identities.
If cos θ = 4/5 (θ acute), what is tan θ?
- A5/3
- B3/4
- C4/3
- D3/5
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Answer: (B) 3/4
sin θ = 3/5, so tan θ = sin θ / cos θ = 3/4.
What is the value of tan 60° × tan 30°?
- A1/√3
- B3
- C√3
- D1
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Answer: (D) 1
Use the standard trigonometric values and identities.
If sin θ = 20/29 (θ acute), what is cos θ?
- A21/29
- B29/21
- C20/21
- D21/20
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Answer: (A) 21/29
cos θ = √(1 − sin²θ) = 21/29.
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Timed Quantitative Aptitude test · 25 questions · instant rank
What is the value of cos 0° + sin 90°?
- A1
- B2
- C√2
- D0
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Answer: (B) 2
Use the standard trigonometric values and identities.
If sin θ = 3/5 (θ acute), what is cos θ?
- A4/5
- B3/4
- C4/3
- D5/4
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Answer: (A) 4/5
cos θ = √(1 − sin²θ) = 4/5.
What is the value of tan 45° + cot 45°?
- A0
- B2
- C1
- D√3
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Answer: (B) 2
Use the standard trigonometric values and identities.
If cos θ = 15/17 (θ acute), what is tan θ?
- A8/15
- B17/8
- C8/17
- D15/8
Show answer
Answer: (A) 8/15
sin θ = 8/17, so tan θ = sin θ / cos θ = 8/15.
What is the value of sin² 45° + cos² 45°?
- A√2
- B1
- C1/2
- D0
Show answer
Answer: (B) 1
Use the standard trigonometric values and identities.
If cos θ = 12/13 (θ acute), what is tan θ?
- A5/12
- B12/5
- C13/5
- D5/13
Show answer
Answer: (A) 5/12
sin θ = 5/13, so tan θ = sin θ / cos θ = 5/12.
What is the value of sin 60° × cos 30°?
- A1/2
- B3/4
- C1
- D√3/4
Show answer
Answer: (B) 3/4
Use the standard trigonometric values and identities.
If sin θ = 8/17 (θ acute), what is cos θ?
- A15/17
- B8/15
- C17/15
- D15/8
Show answer
Answer: (A) 15/17
cos θ = √(1 − sin²θ) = 15/17.
If cos θ = 4/5 (θ acute), what is tan θ?
- A3/4
- B4/3
- C3/5
- D5/3
Show answer
Answer: (A) 3/4
sin θ = 3/5, so tan θ = sin θ / cos θ = 3/4.
These are RankerClub practice questions written in the SSC CHSL pattern. They are not official SSC/IBPS/RRB papers.
