What is the value of tan 60° × tan 30°?
- A√3
- B1
- C3
- D1/√3
Show answer
Answer: (B) 1
Use the standard trigonometric values and identities.
Agniveer Navy Trigonometry Questions with Answers & Explanations
17 Trigonometry questions from the Mathematics section of Agniveer Navy, 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.
If sin θ = 5/13 (θ acute), what is cos θ?
- A13/12
- B12/5
- C12/13
- D5/12
Show answer
Answer: (C) 12/13
cos θ = √(1 − sin²θ) = 12/13.
What is the value of tan 45° + cot 45°?
- A1
- B2
- C√3
- D0
Show answer
Answer: (B) 2
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
Show answer
Answer: (A) 21/29
cos θ = √(1 − sin²θ) = 21/29.
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 = 24/25 (θ acute), what is tan θ?
- A7/24
- B24/7
- C25/7
- D7/25
Show answer
Answer: (A) 7/24
sin θ = 7/25, so tan θ = sin θ / cos θ = 7/24.
What is the value of cosec² 30° − cot² 30°?
- A4
- B1
- C0
- D3
Show answer
Answer: (B) 1
Use the standard trigonometric values and identities.
If sin θ = 3/5 (θ acute), what is cos θ?
- A3/4
- B5/4
- C4/5
- D4/3
Show answer
Answer: (C) 4/5
cos θ = √(1 − sin²θ) = 4/5.
What is the value of tan 60° × tan 30°?
- A1
- B√3
- C1/√3
- D3
Show answer
Answer: (A) 1
Use the standard trigonometric values and identities.
If cos θ = 21/29 (θ acute), what is tan θ?
- A21/20
- B20/29
- C29/20
- D20/21
Show answer
Answer: (D) 20/21
sin θ = 20/29, so tan θ = sin θ / cos θ = 20/21.
Ready for the real thing?
Timed Mathematics test · 25 questions · instant rank
What is the value of sec² 60° − tan² 60°?
- A1
- B0
- C3
- D4
Show answer
Answer: (A) 1
Use the standard trigonometric values and identities.
If sin θ = 5/13 (θ acute), what is cos θ?
- A13/12
- B12/13
- C5/12
- D12/5
Show answer
Answer: (B) 12/13
cos θ = √(1 − sin²θ) = 12/13.
What is the value of sin 30° + cos 60°?
- A0
- B√3/2
- C1/2
- D1
Show answer
Answer: (D) 1
Use the standard trigonometric values and identities.
What is the value of cos 0° + sin 90°?
- A2
- B0
- C1
- D√2
Show answer
Answer: (A) 2
Use the standard trigonometric values and identities.
If cos θ = 4/5 (θ acute), what is tan θ?
- A3/4
- B5/3
- C4/3
- D3/5
Show answer
Answer: (A) 3/4
sin θ = 3/5, so tan θ = sin θ / cos θ = 3/4.
If cos θ = 15/17 (θ acute), what is tan θ?
- A8/15
- B8/17
- C15/8
- D17/8
Show answer
Answer: (A) 8/15
sin θ = 8/17, so tan θ = sin θ / cos θ = 8/15.
What is the value of sin 60° × cos 30°?
- A√3/4
- B1/2
- C3/4
- D1
Show answer
Answer: (C) 3/4
Use the standard trigonometric values and identities.
These are RankerClub practice questions written in the Agniveer Navy pattern. They are not official SSC/IBPS/RRB papers.
