Trigonometrical Ratios
ICSE · Class 9 · Mathematics
Practice quiz for Trigonometrical Ratios — ICSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.
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If tan θ = 5/12, what is the value of cos θ?
If cos A = 8/17, find the value of sin A.
In triangle ABC, ∠B = 90°, AB = 12 cm, BC = 5 cm. What is tan C?
Which expression equals sec²θ - tan²θ?
Sample Questions
Which of the following are correct for a right triangle with ∠C = 90°? (Select all correct options)
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sin A = cos B, tan A = sin A / cos A, sec A = 1/cos A, cosec A = 1/sin A
In a right triangle: (1) sin A = cos B (complementary angles), (2) tan A = sin A / cos A (quotient identity), (3) sec A = 1/cos A (reciprocal), (4) sin A + cos A ≠ 1 (this would be sin²A + cos²A = 1), (5) cosec A = 1/sin A (reciprocal).
If sin θ = 7/25, what is the value of cosec θ?
In a right triangle, if one angle is 30°, then sin 30° = 1/2. True or False?
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True
sin 30° = 1/2 is a standard trigonometric value. In a 30-60-90 triangle, the sides are in ratio 1:√3:2, so sin 30° = opposite/hypotenuse = 1/2.
Match the trigonometric ratios with their reciprocals:
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sin θ → cosec θ
The reciprocal pairs are: sin θ and cosec θ, cos θ and sec θ, tan θ and cot θ. Each pair multiplies to give 1.
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