Trigonometrical Ratios of Standard Angles
ICSE · Class 9 · Mathematics
Most important questions from Trigonometrical Ratios of Standard Angles for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Which of the following are correct values? (Select all that apply)
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tan 45° = 1, cos 0° = 1, sin 90° = 1, cos 45° = 1/√2
From standard values: tan 45° = 1, cos 0° = 1, sin 90° = 1, cos 45° = 1/√2 are all correct. However, tan 30° = 1/√3, not √3.
Which expressions equal √3/2? (Select all that apply)
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sin 60°, cos 30°
From standard values: sin 60° = √3/2 and cos 30° = √3/2. sin 30° = 1/2, cos 60° = 1/2, and tan 60° = √3.
Find the value of sec 60°.
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2
sec 60° = 1/cos 60° = 1/(1/2) = 2. Secant is the reciprocal of cosine.
Which of the following are true? (Select all that apply)
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sin 90° = cos 0°, sin 30° = cos 60°, tan 45° = cot 45°, sin 60° = cos 30°
Complementary angle relationships: sin θ = cos(90° - θ). So sin 90° = cos 0° = 1, sin 30° = cos 60° = 1/2, sin 60° = cos 30° = √3/2. Also tan 45° = cot 45° = 1. But tan 30° = 1/√3 while cot 30° = √3.
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