Trigonometry MCQs
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 190easy
If 6tanA(tanA + 1) = 5 - tanA, given that 0 < A < $$\frac{\pi }{2}$$ what is the value of (sinA + cosA)?
Question 191easy
The value of $$\frac{{\sec \theta \left( {\sin \theta - 2{{\sin }^3}\theta } \right)}}{{2{{\cos }^3}\theta - \cos \theta }}$$ is:
Question 192easy
What is the value of $$\frac{{\left[ {1 - \tan \left( {90 - \theta } \right) + \sec \left( {90 - \theta } \right)} \right]}}{{\left[ {\tan \left( {90 - \theta } \right) - \sec \left( {90 - \theta } \right) + 1} \right]}}?$$
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Question 193easy
If $${\text{tan }}\alpha = 2,$$ then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}\alpha - {\text{se}}{{\text{c}}^2}\alpha }}{{{\text{cose}}{{\text{c}}^2}\alpha + se{c^2}\alpha }}$$ is?
Question 194easy
The value of $$\left( {\frac{{\sin A}}{{1 - \cos A}} + \frac{{1 - \cos A}}{{\sin A}}} \right) \div \left( {\frac{{{{\cot }^2}A}}{{1 + {\text{cosec}}\,A}} + 1} \right){\text{is:}}$$
Question 195easy
If $$\sec \theta + \frac{1}{{\cos \theta }} = 2,$$ find the value of $${\sec ^{55}}\theta + \frac{1}{{{{\sec }^{55}}\theta }} = ?$$
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Question 196easy
If $$\sin \alpha + \cos \beta = 2;$$ $$\left( {{0^ \circ } \leqslant \beta < \alpha \leqslant {{90}^ \circ }} \right){\text{,}}$$ then $${\text{sin}}\,{\left( {\frac{{2\alpha + \beta }}{3}} \right)^ \circ }$$ is?
Question 197easy
If cos(A - α) = p, sin(A - β) = q, then the value of cos2(α - β) + 2pqsin(α - β) is:
Question 198easy
If (2cosA + 1)(2cosA - 1) = 0, 0° < A ≤ 90°, then find the value of A.