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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 19easy
The greatest value of sin4θ + cos4θ is?
Question 20easy
If $$\theta $$ is a positive acute angle and $$\tan 2\theta .\tan 3\theta $$    = 1 then the value of $$\left( {{\text{2co}}{{\text{s}}^2}\frac{{5\theta }}{2} - 1} \right)$$   is?
Question 21easy
If tan2α = 1 + 2tan2β (α, β are positive acute angles), then √2cosα - cosβ is equal to?
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Question 22easy
Find the value of, 8cos10°. cos20°. cos40° = ?
Question 23easy
If $$\sin \left( {\theta + {{30}^ \circ }} \right) = \frac{3}{{\sqrt {12} }}{\text{,}}$$     then find $${\text{co}}{{\text{s}}^2}\theta ?$$
Question 24easy
The value of cotθ.tan(90° - θ) - sec(90° - θ)cosecθ + (sin225° + sin265°) + $$\sqrt 3 $$ (tan5°. tan15°. tan30°. tan75°. tan85°)
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Question 25easy
If A + B = C, then tanAtanBtanC = ?
Question 26easy
The value of $${\sec ^2}\theta $$  - $$\frac{{{{\sin }^2}\theta - 2{{\sin }^4}\theta }}{{{\text{2co}}{{\text{s}}^4}\theta - {\text{co}}{{\text{s}}^2}\theta }}$$   is?
Question 27easy
If cos53° = $$\frac{x}{y},$$ then sec53° + cot37° is equal to: