Class 11 Mathematics · Chapter 10 · Test 1
Allied Angles
37 MCQs Tests reduction of large and negative angles, allied-angle rules and ASTC signs. Also covers proving identities and the triangle conditions α + β + γ = 180°.
37 questions · 30 min · 37 marks
Want to try first? Take the free Mathematics test: Complex Number Operations
Sample questions
The first 5 of 37. Try each one, then tap to see the answer.
Question 1
What is the value of cos(−1230°)?
- A√3/2
- B−√3/2
- C−1/2
- D1/2
Show answerHide answer
Answer: B
cos(−1230°) = cos(−1230° + 4·360°) = cos 210° = cos(180° + 30°) = −cos 30° = −√3/2.
Question 2
What is the value of tan(−1035°)?
- A−1
- B√3
- C1/√3
- D1
Show answerHide answer
Answer: D
tan(−1035°) = tan(−1035° + 3·360°) = tan 45° = 1.
Question 3
What is the value of sec 1140°?
- A2
- B1/2
- C√2
- D−2
Show answerHide answer
Answer: A
sec 1140° = sec(1140° − 3·360°) = sec 60° = 2.
Question 4
What is the value of cosec(−690°)?
- A−2
- B1/2
- C2
- D√2
Show answerHide answer
Answer: C
cosec(−690°) = cosec(−690° + 2·360°) = cosec 30° = 2.
Question 5
What is the value of cot 1320°?
- A√3
- B1/√3
- C−1/√3
- D−√3
Show answerHide answer
Answer: B
cot 1320° = cot(1320° − 3·360°) = cot 240° = cot(180° + 60°) = cot 60° = 1/√3.
More tests in Trigonometric Identities
Practise with a free account
Save your scores, see which chapters need work, and keep a notebook of every question you got wrong.