Trigonometry Practice Quiz Class 10 Maths
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Introduction to Trigonometry — Interactive Practice Quiz
CBSE Class 10 · Mathematics · Chapter 8 (2026–27)
Solve each question, then tap the answer button. Practice mode explains instantly; Test mode hides the answers and scores everything at the end.
Q1. In a right triangle, sin θ is defined as:
sin θ = opposite side ÷ hypotenuse. The other ratios: cos θ = adjacent ÷ hypotenuse, tan θ = opposite ÷ adjacent.
Q2. The exact value of tan 45° is:
In a 45°–45°–90° triangle the two legs are equal, so tan 45° = leg ÷ leg = 1.
Q3. The value of sin 30° is:
sin 30° = 1/2. In the 30°–60°–90° triangle, the side opposite 30° is half the hypotenuse.
Q4. cos 60° equals:
cos 60° = 1/2, the same value as sin 30° — the complementary-angle pair sin 30° = cos 60°.
Q5. For any angle θ, the value of sin²θ + cos²θ is:
Pythagorean identity: sin²θ + cos²θ = 1 for every value of θ.
Q6. sec θ is defined as:
sec θ = 1 ÷ cos θ. Its partners: cosec θ = 1 ÷ sin θ and cot θ = 1 ÷ tan θ.
Q7. If sin θ = 3/5, then cos θ is:
A 3–4–5 triangle: opposite = 3, hypotenuse = 5, so adjacent = 4. cos θ = 4/5.
Q8. The value of sin 90° is:
sin 90° = 1. The side opposite 90° is the hypotenuse itself.
Q9. The identity for tan θ is:
tan θ = sin θ ÷ cos θ. And cot θ = cos θ ÷ sin θ, its reciprocal partner.
Q10. For an acute angle θ, if sin θ = cos θ, then θ is:
At 45°, sin 45° = cos 45° = 1/√2. This is the only acute angle where the two ratios are equal.
Q11. tan (90° − A) is equal to:
Complementary-angle rule: tan (90° − A) = cot A, just as sin (90° − A) = cos A.
Q12. The value of sin 30° + cos 60° is:
sin 30° = 1/2 and cos 60° = 1/2, so 1/2 + 1/2 = 1.
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