Trigonometry — Practice Quiz
Kerala Board · Class 10 · Mathematics
Try a 4-question quiz on Trigonometry for Kerala Board Class 10 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.
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Quick Quiz: Trigonometry
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the value of sin 30°?
If cos θ = 3/5, what is the value of sin θ? (assuming θ is acute)
A ladder 10 meters long leans against a wall making an angle of 30° with the ground. What is the height reached on the wall?
What is the value of (sin 45°)² + (cos 45°)²?
Sample Questions
Which of the following are correct values? (Select all that apply)
Show answer
cos 60° = 1/2, tan 45° = 1, sin 90° = 1, tan 30° = 1/√3
Step-by-step verification: cos 60° = 1/2 ✓, tan 45° = 1 ✓, sin 90° = 1 ✓, cos 0° = 1 (not 0) ✗, tan 30° = 1/√3 ✓. These are standard trigonometric values.
In a right triangle, if one angle is 60°, what is the ratio of the sides?
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1 : √3 : 2
In a 30-60-90 triangle, the sides are in the ratio 1 : √3 : 2, where 1 is opposite to 30°, √3 is opposite to 60°, and 2 is the hypotenuse. This comes from the properties of the equilateral triangle when cut in half.
From the top of a 20-meter tall building, the angle of depression to see a car is 45°. How far is the car from the base of the building?
Show answer
20 meters
Step 1: Angle of depression = 45° means the angle with horizontal is 45°. Step 2: In the right triangle formed, height = 20 m (opposite), distance = adjacent. Step 3: tan 45° = opposite/adjacent = 20/distance. Step 4: Since tan 45° = 1, distance = 20 meters.
Which of the following statements are true? (Select all that apply)
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sin θ increases as θ increases from 0° to 90°, cos θ decreases as θ increases from 0° to 90°, sin 0° = 0
Analyzing each: sin θ goes from 0 to 1 as θ goes from 0° to 90° ✓; cos θ goes from 1 to 0 as θ goes from 0° to 90° ✓; tan θ increases (not decreases) from 0 to ∞ ✗; sin 0° = 0 ✓; cos 90° = 0 (not 1) ✗.
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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