Trigonometry
Maharashtra Board · Class 9 · Mathematics
Practice quiz for Trigonometry — Maharashtra Board Class 9 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Trigonometry
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In a right-angled triangle ABC with ∠B = 90°, if AC = 5 cm and BC = 3 cm, find sin A.
What is the value of sin 30°?
If cos θ = 4/5, find sin θ (where θ is acute).
In triangle PQR, ∠Q = 90°, PQ = 12 cm, QR = 9 cm. Find tan P.
Sample Questions
Which of the following are correct trigonometric ratios? (Select all correct answers)
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sin 45° = 1/√2, cos 60° = 1/2, sin 90° = 1
From standard trigonometric values: sin 45° = 1/√2 ✓, cos 60° = 1/2 ✓, sin 90° = 1 ✓. However, tan 30° = 1/√3 (not √3), and cos 0° = 1 (not 0).
What is the value of cos 45° + sin 45°?
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2/√2
Step 1: cos 45° = 1/√2 and sin 45° = 1/√2. Step 2: cos 45° + sin 45° = 1/√2 + 1/√2 = 2/√2 = √2.
If sin θ = cos θ, find the value of θ (where θ is acute).
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45°
Step 1: We know sin θ = cos θ. Step 2: From complementary angle relation, sin θ = cos(90° - θ). Step 3: So cos θ = cos(90° - θ), which means θ = 90° - θ. Step 4: Solving: 2θ = 90°, therefore θ = 45°.
Which relationships are correct for complementary angles? (Select all correct)
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sin θ = cos(90° - θ), cos θ = sin(90° - θ), tan θ = cot(90° - θ)
For complementary angles: sin θ = cos(90° - θ) ✓, cos θ = sin(90° - θ) ✓, tan θ = cot(90° - θ) ✓. The incorrect options show equal ratios which only occur at 45°.
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