This set of Class 10 Maths Chapter 8 Multiple Choice Questions & Answers (MCQs) focuses on “Trigonometric Ratios of Specific Angles – 1”.
1. What is the value of sec θ when θ is 45°?
a) √3
b) 1
c) 0
d) √2
View Answer
Explanation: The value of cos 45° is \(\frac {1}{\sqrt 2}\) and secant is inverse to cos.
So, sec θ = \(\frac {1}{cos \, \theta } = \frac {1}{1/\sqrt 2}\)
= √2
2. What is the value of sin 0° + cos 0°?
a) 0
b) 2
c) 1
d) ∞
View Answer
Explanation: The value of sin 0° is 0 and the value of cos 0° is 1.
sin 0° + cos 0° = 0 + 1
= 1
3. Evaluate cos 30° sin 60° + cos 60° sin 30°.
a) 2
b) 0
c) 1
d) ∞
View Answer
Explanation: cos 30° sin 60° + cos 60° sin 30° = \(\frac {\sqrt 3}{2} . \frac {\sqrt {3}}{2} + \frac {1}{2} . \frac {1}{2}\)
= \(\frac {3 + 1}{4}\)
= \(\frac {4}{4}\)
= 1
4. What is the value of cos (30° + 60°)?
a) 1
b) \(\frac {1}{4}\)
c) \(\frac {3}{4}\)
d) 0
View Answer
Explanation: cos (30° + 60°) = cos (90°) = 1
The value of cos (90°) is 1
5. 60° lies in the_____ quadrant.
a) first
b) second
c) third
d) fourth
View Answer
Explanation: A plane is divided into four quadrants. The first quadrant ranges from 0° to 90°. So, 60° lies between 0° to 90° which is in the first quadrant of a plane.
6. What is the value of \(\frac {2 cot \, 60^{\circ }}{1 + cot \, 45^{\circ }}\)?
a) Cot 30°
b) Cot 45°
c) Cot 60°
d) Tan 60°
View Answer
Explanation: \(\frac {2 cot \, 60^{\circ }}{1 + cot \, 45^{\circ }} = \frac {2 (\frac {1}{\sqrt 3})}{1 + 1}\)
= \(\frac {\frac {2}{\sqrt {3}}}{2}\)
= \(\frac {1}{\sqrt 3}\)
= Cot 60°
7. Cosec 0° is _____
a) Not defined
b) 1
c) 0
d) 2
View Answer
Explanation: Cosec 0° = \(\frac {1}{Sin \, 0^{\circ } } = \frac {1}{0}\)
Any number divided with 0 is always not defined.
8. The value of sin 90° + cos 0° + √2 cos 45° is_____
a) 2
b) 1
c) 4
d) 3
View Answer
Explanation: sin 90° + cos 0° + √2 cos 45° = 1 + 1 + √2 (\(\frac {1}{\sqrt {2}}\))
= 1 + 1 + 1
= 3
9. Cosec 90° is _____
a) 0
b) 2
c) 1
d) √3
View Answer
Explanation: Cosec 90° = \(\frac {1}{Sin \, 90^{\circ } }\)
= \(\frac {1}{1}\)
= 1
10. \(\frac {Cos \, 0^{\circ }}{1 – Sin \, 30^{\circ }}\) is _____
a) 1
b) 2
c) 3
d) 4
View Answer
Explanation: \(\frac {Cos \, 0^{\circ }}{1 – Sin \, 30^{\circ }} = \frac {1}{1 – 1/2}\)
= \(\frac {1}{1/2}\)
= 2
Sanfoundry Global Education & Learning Series – Mathematics – Class 10.
To practice all chapters and topics of class 10 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.
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