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Trigonometry MCQs

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Practice free Trigonometry multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 357 questions — no login required.

Question 28easy

If θ is a acute angle and sin(θ + 18°) = $$\frac{1}{2}{\text{,}}$$ then the value of θ in circular measure is?

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Question 29easy

The value of $${\text{cot1}}{{\text{7}}^ \circ }$$ $$\left( {\cot {{73}^ \circ }\,{{\cos }^2}{{22}^ \circ }\, + \frac{1}{{\cot {{17}^ \circ }se{c^2}{{68}^ \circ }}}} \right)$$ is?

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Question 30easy

If $$\sin \theta = \frac{a}{{\sqrt {{a^2} + {b^2}} }},$$ 0° < θ < 90°, then the value of secθ + tanθ is:

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Question 31easy

If 3sinθ = 2cos²θ, 0° < θ < 90°, then the value of (tan²θ + sec²θ - cosec²θ) is:

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Question 32easy

If 2(cos²θ - sin²θ) = 1, (θ is positive acute angle), then cotθ is equal to?

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Question 33easy

Solve the following to find its value in terms of trigonometric ratios.
(sinA + cosA)(1 - sinAcosA)

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Question 34easy

If tan7θ.tan2θ = 1, then the value of tan3θ is?

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Question 35easy

If $$\theta $$ is a positive acute angle and $${\text{4}}{\sin ^2}\theta $$ = 3, then the value of $${\text{tan}}\theta $$ - $$cot\frac{\theta }{2}$$ is?

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Question 36easy

If sin21° = $$\frac{x}{y}{\text{,}}$$ then sec21° - sin69° is equal to?

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