Students are advised to solve the Introduction to Trigonometry Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Introduction to Trigonometry Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Introduction to Trigonometry Class 10 with answers provided with detailed solutions by looking below.

Question 1.
If cos (α + β) = 0, then sin (α – β) can be reduced to
(a) cos β
(b) cos 2β
(c) sin α
(d) sin 2α

Answer

Answer: (b) cos 2β

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Question 2.
If cos (40° + A) = sin 30°, the value of A is:?
(a) 60°
(b) 20°
(c) 40°
(d) 30°

Answer

Answer: (b) 20°

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Question 3.
If sin x + cosec x = 2, then sin¹⁹x + cosec²⁰x =
(a) 2¹⁹
(b) 2²⁰
(c) 2
(d) 2³⁹

Answer

Answer: (c) 2

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Question 4.
If cos 9a = sin a and 9a < 90°, then the value of tan 5a is
(a) \(\frac { 1 }{ \sqrt { 3 } }\)
(b) √3
(c) 1
(d) 0

Answer

Answer: (c) 1

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Question 5.
7 sin²θ + 3 cos²θ = 4 then :
(a) tan θ = \(\frac { 1 }{ \sqrt { 2 } }\)
(b) tan θ = \(\frac { 1 }{ 2 }\)
(c) tan θ = \(\frac { 1 }{ 3 }\)
(d) tan θ = \(\frac { 1 }{ \sqrt { 3 } }\)

Answer

Answer: (d) tan θ = \(\frac { 1 }{ \sqrt { 3 } }\)

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Question 6.
(1 + tanθ + secθ) (1 + cotθ – cosecθ) is equal to
(a) 0
(b) 1
(c) 2
(d) -1

Answer

Answer: (c) 2

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Question 7.
Ratios of sides of a right triangle with respect to its acute angles are known as
(a) trigonometric identities
(b) trigonometry
(c) trigonometric ratios of the angles
(d) none of these

Answer

Answer: (c) trigonometric ratios of the angles

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Question 8.
If tan θ = \(\frac { 12 }{ 5 }\), then \(\frac { 1+sinθ }{ 1-sinθ }\) is equal to
(a) 24
(b) \(\frac { 12 }{ 13 }\)
(c) 25
(d) 9

Answer

Answer: (c) 25

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Question 9.
The value of cos θ cos(90° – θ) – sin θ sin (90° – θ) is:
(a) 1
(b) 0
(c) -1
(d) 2

Answer

Answer: (b) 0

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Question 10.
If x = a cos θ and y = b sin θ, then b²x² + a²y² =
(a) ab
(b) b² + a²
(c) a²b²
(d) a⁴b⁴

Answer

Answer: (c) a²b²

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Question 11.
If ΔABC is right angled at C, then the value of cos (A + B) is
(a) 0
(b) 1
(c) \(\frac { 1 }{ 2 }\)
(d) \(\frac { \sqrt { 3 } }{ 2 }\)

Answer

Answer: (a) 0

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Question 12.
If x and y are complementary angles, then
(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y

Answer

Answer: (d) sec x = cosec y

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Question 13.
sin (45° + θ) – cos (45° – θ) is equal to
(a) 2 cos θ
(b) 0
(c) 2 sin θ
(d) 1

Answer

Answer: (b) 0

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Question 14.
If 0° < θ < 90°, then sec 0 is (a) >1
(b) < 1
(c) =1
(d) 0

Answer

Answer: (a) >1

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Question 15.
In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is
(a) 0
(b) 1
(c) – 1
(d) 2

Answer

Answer: (b) 1

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Question 16.
Given that sin A=\(\frac { 1 }{ 2 }\) and cos B=\(\frac { 1 }{ \sqrt { 2 } }\) then the value of (A + B) is:
(a) 30°
(b) 45°
(c) 75°
(d) 15°

Answer

Answer: (c) 75°

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Question 17.
If sin A = \(\frac { 1 }{ 2 }\), then the value of cot A is
(a) √3
(b) \(\frac { 1 }{ \sqrt { 3 } }\)
(c) \(\frac { \sqrt { 3 } }{ 2 }\)
(d) 1

Answer

Answer: (a) √3

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Question 18.
If √3tanθ = 3sinθ, then the value of sin²θ−cos²θ is
(a) 0
(b) 1
(c) \(\frac { 1 }{ 2 }\)
(d) \(\frac { 1 }{ 3 }\)

Answer

Answer: (d) \(\frac { 1 }{ 3 }\)

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Question 19.
Out of the following options, the two angles that are together classified as complementary angles are
(a) 120° and 60°
(b) 50° and 30°
(c) 65° and 25°
(d) 70° and 30°

Answer

Answer: (c) 65° and 25°

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Question 20.
If sin θ − cos θ = 0, vthen the value of θ is
(a) 90°
(b) 30°
(c) 45°
(d) 60°

Answer

Answer: (c) 45°

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Question 21.
If tan 2A = cot (A – 18°), then the value of A is
(a) 24°
(b) 18°
(c) 27°
(d) 36°

Answer

Answer: (d) 36°

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Question 22.
If cos A + cos² A = 1, then sin² A + sin⁴ A is
(a) -1
(b) 0
(c) 1
(d) 2

Answer

Answer: (c) 1

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Question 23.
If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ = ____
(a) -1
(b) 0
(c) 1
(d) 2

Answer

Answer: (c) 1

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Question 24.
sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°

Answer

Answer: (d) 0°

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