WBBSE Class 10 Maths Trigonometry Chapter 1 Concept Of Measurement Of Angle Multiple Choice Questions

WBBSE Class 10 Maths Trigonometry Chapter 1 Concept Of Measurement Of Angle Multiple Choice Questions

Example 1. The end point of the minute hand of a clock rotates in 1 hour

1. \(\frac{\pi^c}{4}\)
2. \(\frac{\pi^c}{2}\)
3. π^c
4. 2π^c

Solution: The end point of the minute hand of a clock rotates in 1 hour is 360°

Read And Learn Also WBBSE Class 10 Maths Multiple Choice Questions

180° = π^c

\(360^{\circ}=\frac{360}{180} \pi^c=2 \pi^c\)

∴ The correct answer is 4.

Example 2. \(\frac{\pi}{6}\) radian equal to

1. 60°
2. 45°
3. 90°
4. 30°

Solution: \(\frac{\pi}{6}\) radian = \(\frac{180^{\circ}}{6}\) = 30°

∴ The correct answer is 30°

Class 10 Maths Trigonometry Chapter 1 MCQs

Example 3. The circular value of each internal angle of a regular hexagon is

1. \(\frac{\pi}{3}\)
2. \(\frac{2\pi}{3}\)
3. \(\frac{\pi}{6}\)
4. \(\frac{\pi}{4}\)

Solution: The value of each internal angle of a regular hexagon is

⇒ \(\frac{2 \times 6-4}{6} \times 90^{\circ}=120^{\circ}\)

⇒ \( 180^{\circ}=\pi^c\)

⇒ \(120^{\circ}=\frac{120}{180} \pi^c=\frac{2 \pi^c}{3}\)

∴ The circular value of each angle is \(\frac{2 \pi^c}{3}\)

∴ The correct answer is 2. \(\frac{2\pi}{3}\)

Example 4. The measurement of θ in the relation to S = rθ is determined by

1. Sexagesimal system
2. Circular system
3. Those two methods
4. None of these

Solution: The correct answer is 2. Circular system

Trigonometric Ratios Mcqs Class 10

Example 5. In cyclic quadrilateral ABCD, if ∠A = 120°, then the circular value of ∠C is

1. \(\frac{\pi}{3}\)
2. \(\frac{\pi}{6}\)
3. \(\frac{\pi}{2}\)
4. \(\frac{2\pi}{3}\)

Solution: In cyclic quadrilateral ABCD, [The opposite angles of a cyclic quadrilateral are supplementary]

∠A + ∠C = 180°

120° + ∠C = 180°

⇒ ∠C = 60°

180° = π^c

∴ 60°= \(\frac{60}{180} \pi^c=\frac{\pi^c}{3}\)

∴ The correct answer is 1. \(\frac{\pi}{3}\)

 

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Class 10 Trigonometry Chapter 1 Mcqs With Answers

Example 6. In ΔABC, point of intersection of ∠B and ∠C is O; if ∠BAC = 40°, then the circular value of ∠BOC is

1. \(\frac{5 \pi}{18}\)
2. \(\frac{4 \pi}{12}\)
3. \(\frac{11 \pi}{18}\)
4. \(\frac{2 \pi}{5}\)

Solution:

∠BOC = 90° + \(\frac{1}{2}\) ∠BAC

= 90° + \(\frac{1}{2}\) x 40° = 110°

180° = π^c

⇒ 110° = \(\frac{110}{180} \pi^c=\frac{11 \pi^c}{18}\)

∴ The correct answer is 3. \(\frac{11 \pi}{18}\)

Example 7. If ∠A + ∠B = \(\frac{5 \pi}{12}\) and ∠A – ∠B = 15° then the sexagesimal value of ∠B is

1. 45°
2. 60°
3. 75°
4. 30°

Solution:

⇒ ∠B = 30°

∴ The correct answer is 4. 30°

Trigonometric Identities Mcqs Class 10

Example 8. If O is the circumcentre of the ΔABC and ∠BOC = 120° then the circular value of ∠BAC is

1. \(\frac{\pi}{3}\)
2. \(\frac{\pi}{6}\)
3. \(\frac{2\pi}{3}\)
4. None of these

Solution:

 

∠BOC = 2 ∠BAC

⇒ ∠BAC = \(\frac{1}{2}\) ∠BOC = \(\frac{1}{2}\) x 120° = 60°

180 = π^c

60° = \(\frac{60}{180} \pi^c=\frac{\pi^c}{3}\)

∴ The correct answer is 1. \(\frac{\pi}{3}\)