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Trigonometric Functions Practice Questions

Class 11 · Mathematics · 1330 free MCQs with instant results and detailed explanations.

1330
Total
517
Easy
633
Medium
180
Hard

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Topics in Trigonometric Functions

Trigonometric Functions 428
Angles 449
Identities 108
Trigonometric Equations 345

Sample Questions from Trigonometric Functions

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the value of sin(30°)?
A. 0.5
B. √3/2
C. 1
D. 0
Show Answer & Explanation
Correct Answer: A
The sine of 30 degrees is a well-known value, which is 0.5.
Q2
Easy
What is the value of tan(0°)?
A. 0
B. 1
C. undefined
D. ∞
Show Answer & Explanation
Correct Answer: A
The tangent of 0 degrees is 0 because tan(θ) = sin(θ)/cos(θ) and sin(0°)=0.
Q3
Easy
What is the sine of an angle in a right triangle opposite to the hypotenuse?
A. Adjacent/Hypotenuse
B. Opposite/Hypotenuse
C. Hypotenuse/Opposite
D. Adjacent/Opposite
Show Answer & Explanation
Correct Answer: B
The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse.
Q4
Medium
If the angle A is 30 degrees, what is the value of sin A?
A. 0.5
B. 0.25
C. 0.75
D. 1
Show Answer & Explanation
Correct Answer: A
The sine of 30 degrees is 0.5, as per the standard values of trigonometric functions.
Q5
Medium
What is the value of cos(90° - A) in terms of sin A?
A. sin A
B. cos A
C. 1 - sin A
D. 1 + sin A
Show Answer & Explanation
Correct Answer: A
Using the co-function identity, cos(90° - A) = sin A.
Q6
Medium
Which of the following is true for the angle A if tan A = 1?
A. A = 45°
B. A = 60°
C. A = 30°
D. A = 90°
Show Answer & Explanation
Correct Answer: A
The value of tan A equals 1 at 45 degrees; therefore, A must be 45°.
Q7
Medium
In a right triangle, if angle A is 60° and the opposite side is 5 cm, what is the length of the hypotenuse?
A. 10 cm
B. 5√3 cm
C. 5/√3 cm
D. 5√2 cm
Show Answer & Explanation
Correct Answer: B
Using the sine function, sin A = opposite/hypotenuse, we can find the hypotenuse length as hypotenuse = opposite/sin A.
Q8
Hard
Calculate the values of angle x in degrees if cos(x) = -1/2 for 0° ≤ x < 360°.
A. 120°, 240°
B. 60°, 300°
C. 90°, 270°
D. 150°, 210°
Show Answer & Explanation
Correct Answer: A
The cosine function is negative in the second and third quadrants. The angles that correspond to cos(x) = -1/2 are 120° and 240°.
Q9
Hard
If sin(A + B) = 0, what can be concluded about the angles A and B?
A. A + B = nĪ€, n ∈ Z
B. A + B = (2n + 1)Ī€/2, n ∈ Z
C. A = B
D. A - B = nĪ€, n ∈ Z
Show Answer & Explanation
Correct Answer: A
The sine function is zero at integer multiples of Ī€, hence A + B must equal nĪ€.
Q10
Hard
If tan(θ) = 5/12, what is the value of sin(θ)?
A. 5/13
B. 12/13
C. 12/5
D. 13/5
Show Answer & Explanation
Correct Answer: A
Using the identity tan(θ) = opposite/adjacent, we can find the hypotenuse using the Pythagorean theorem, and then calculate sin(θ).

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Trigonometric Functions — Class 11 Mathematics Practice Questions Online

This page contains 1330 practice MCQs for the chapter Trigonometric Functions in Class 11 Mathematics. The questions are organized by difficulty — 517 easy, 633 medium, 180 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.