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Introduction to Trigonometry — Class 10 CBSE Mathematics MCQs with Solutions

Free Class 10 CBSE Mathematics Introduction to Trigonometry MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.

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Sample questions with solutions

Q1 — easy
The value of cos 0° is:
A. 0
B. 1/2
C. 1  ✓ Correct
D. undefined
Solution: cos 0° = 1.
Q2 — easy
The value of tan 45° is:
A. 0
B. 1/2
C. 1  ✓ Correct
D. √3
Solution: tan 45° = 1.
Q3 — easy
cos θ is defined as:
A. opposite/hypotenuse
B. adjacent/hypotenuse  ✓ Correct
C. opposite/adjacent
D. adjacent/opposite
Solution: Cosine is adjacent over hypotenuse.
Q4 — hard
If tan θ = 4/3, then sec θ equals:
A. 3/5
B. 4/5
C. 5/3  ✓ Correct
D. 5/4
Solution: sec²θ = 1 + 16/9 = 25/9, so sec θ = 5/3.
Q5 — hard
The value of 1 + tan²θ is:
A. sin²θ
B. cos²θ
C. sec²θ  ✓ Correct
D. cosec²θ
Solution: A standard identity.
Q6 — hard
Evaluate: 2 sin 30° + 3 cos 60°
A. 3/2
B. 2
C. 5/2  ✓ Correct
D. 3
Solution: 2(1/2) + 3(1/2) = 5/2.
Q7 — medium
If tan θ = 1, then θ equals:
A.
B. 30°
C. 45°  ✓ Correct
D. 60°
Solution: tan 45° = 1.
Q8 — medium
The value of tan 60° is:
A. 1/√3
B. 1
C. √3  ✓ Correct
D. 2
Solution: tan 60° = √3.
Q9 — medium
The value of sin 90° − cos 90° is:
A. 0
B. 1  ✓ Correct
C. −1
D. 2
Solution: 1 − 0 = 1.