Introduction to Trigonometry Practice Questions

Class 10 · Mathematics · 1987 free MCQs with instant results and detailed explanations.

1987

Total

689

Easy

966

Medium

332

Hard

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Topics in Introduction to Trigonometry

Trigonometric Ratios 694

Trigonometric Identities 738

Complementary Angles 555

Sample Questions from Introduction to Trigonometry

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

Easy

What is the value of sin 90°?

A. 1

B. 0

C. 0.5

D. √2/2

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Correct Answer: A

The sine of 90 degrees is equal to 1, which means that at this angle, the opposite side is the same as the hypotenuse.

Easy

If tan θ = 3/4, then what is the value of cos θ?

A. 4/5

B. 3/5

C. 5/4

D. 1/3

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Correct Answer: A

Using the formula tan θ = opposite/adjacent, we can visualize a triangle where the opposite side is 3 and adjacent side is 4. The hypotenuse will be 5, and thus cos θ = adjacent/hypotenuse = 4/5.

Easy

Which of the following is the correct relationship between sin θ and cos θ?

A. sin²θ + cos²θ = 1

B. sinθ - cosθ = 0

C. sinθ = cos(90° - θ)

D. Both A and C

Show Answer & Explanation

Correct Answer: D

Both statements A and C are correct, as they are fundamental identities in trigonometry.

Medium

If sin θ = 3/5, what is the value of cos θ?

A. 4/5

B. 3/5

C. 5/3

D. 2/5

Show Answer & Explanation

Correct Answer: A

Using the Pythagorean identity sin²θ + cos²θ = 1, we find cos θ = √(1 - (3/5)²) = √(16/25) = 4/5.

Medium

In a right triangle, if tan A = 1/√3, what is the measure of angle A?

A. 30°

B. 45°

C. 60°

D. 90°

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Correct Answer: A

The value of tan A = 1/√3 corresponds to A being 30°, since tan 30° = 1/√3.

Medium

What is the value of sin 90°?

A. 1

B. 0

C. √2/2

D. √3/2

Show Answer & Explanation

Correct Answer: A

The sine of 90 degrees is defined as the ratio of the opposite side to the hypotenuse, which is 1.

Medium

If cos B = 0.6, what is the value of sin B?

A. 0.8

B. 0.6

C. 0.4

D. 0.5

Show Answer & Explanation

Correct Answer: A

Using the identity sin²B + cos²B = 1, we find sin B = √(1 - 0.6²) = √(0.64) = 0.8.

Hard

If tan θ = 7/24, what is the value of sin θ?

A. 7/25

B. 24/25

C. 25/7

D. 24/7

Show Answer & Explanation

Correct Answer: A

Using the definition tan θ = opposite/adjacent = 7/24, we can form a right triangle, where the hypotenuse can be calculated using Pythagoras' theorem, leading to sin θ = 7/25.

Hard

If sec θ = 2.5, what is the value of cos θ?

A. 0.4

B. 0.5

C. 0.8

D. 0.6

Show Answer & Explanation

Correct Answer: A

Secant is the reciprocal of cos: sec θ = 1/cos θ. Thus, if sec θ = 2.5, cos θ = 1/2.5 = 0.4.

Q10

Hard

If cos A = 3/5, what is the value of sin^2 A + cos^2 A?

A. 1

B. 0.5

C. 3/5

D. 4/5

Show Answer & Explanation

Correct Answer: A

Using the Pythagorean identity sin^2 A + cos^2 A = 1, regardless of the value of cos A, this identity holds true.

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Introduction to Trigonometry — Class 10 Mathematics Practice Questions Online

This page contains 1987 practice MCQs for the chapter Introduction to Trigonometry in Class 10 Mathematics. The questions are organized by difficulty — 689 easy, 966 medium, 332 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 3 topics, giving you comprehensive coverage of the entire chapter.