Trigonometry MCQ Questions and Solutions with Explanations

Section 1 Section 2 Section 3 Section 4

1.
The minimum value of 2sin²θ + 3cos²θ is ?

A. 0

B. 3

C. 2

D. 1

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2.
Maximum value of (2sinθ + 3cosθ) is?

A. 2

B. $$\sqrt {13} $$

C. $$\sqrt {15} $$

D. 1

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3.
The equation $${\cos ^2}\theta $$ = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$ is only possible when ?

A. x = -y

B. x > y

C. x = y

D. x < y

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4.
The greatest value of sin⁴θ + cos⁴θ is?

A. 2

B. 3

C. $$\frac{1}{2}$$

D. 1

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5.
Which one of the following is true for 0° < θ < 90° ?

A. cosθ ≤ cos²θ

B. cosθ < cos²θ

C. cosθ > cos²θ

D. cosθ ≥ cos²θ

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6.
If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$ then the value of x will be ?

A. 0

B. 1

C. -1

D. None of the above

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7.
If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?

A. 0

B. 1

C. -1

D. None of these

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8.
The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?

A. 16°, 56°, 88°

B. 18°, 63°, 99°

C. 20°, 70°, 90°

D. 25°, 175°, 105°

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9.
If θ be an acute angle and 7sin²θ + 3cos²θ = 4, then the value of tanθ is?

A. $$\sqrt 3 $$

B. $$\frac{1}{{\sqrt 3 }}$$

C. 1

D. 0

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10.
If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$ is?

A. 2

B. $${\text{2}}\frac{1}{2}$$

C. 3

D. $$\frac{4}{5}$$

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Trigonometry MCQ Questions and Solutions with Explanations | Aptitude

1. The minimum value of 2sin2θ + 3cos2θ is ?

Answer & Solution

2. Maximum value of (2sinθ + 3cosθ) is?

Answer & Solution

3. The equation $${\cos ^2}\theta $$ = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$ is only possible when ?

Answer & Solution

4. The greatest value of sin4θ + cos4θ is?

Answer & Solution

5. Which one of the following is true for 0° < θ < 90° ?

Answer & Solution

6. If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$ then the value of x will be ?

Answer & Solution

7. If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?

Answer & Solution

8. The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?

Answer & Solution

9. If θ be an acute angle and 7sin2θ + 3cos2θ = 4, then the value of tanθ is?

Answer & Solution

10. If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$ is?

Answer & Solution

Read More Section(Trigonometry)

1.
The minimum value of 2sin²θ + 3cos²θ is ?

2.
Maximum value of (2sinθ + 3cosθ) is?

3.
The equation $${\cos ^2}\theta $$ = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$ is only possible when ?

4.
The greatest value of sin⁴θ + cos⁴θ is?

5.
Which one of the following is true for 0° < θ < 90° ?

6.
If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$ then the value of x will be ?

7.
If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?

8.
The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?

9.
If θ be an acute angle and 7sin²θ + 3cos²θ = 4, then the value of tanθ is?

10.
If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$ is?