Trigonometry MCQ Questions and Solutions with Explanations

Section 1 Section 2 Section 3

1.
The minimum value of 2sin² θ + 3cos² θ 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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Trigonometry MCQ Questions and Solutions with Explanations | Aptitude

1. The minimum value of 2sin2 θ + 3cos2 θ 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

Read More Section(Trigonometry)

1.
The minimum value of 2sin² θ + 3cos² θ 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° ?