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 262easy
If 1 + 2tan2θ + 2sinθsec2θ = $$\frac{a}{b}$$, 0° < θ < 90°, then $$\frac{{a + b}}{{a - b}}?$$
Question 263easy
If sinθ = √3cosθ, 0°< θ < 90°, then the value of 2sin2θ + 6sec2θ + sinθ secθ + cosecθ is
Question 264easy
If $$\frac{{{\text{cos }}\alpha }}{{{\text{cos }}\beta }} = a$$ and $$\frac{{{\text{sin }}\alpha }}{{{\text{sin }}\beta }} = b{\text{,}}$$ then the value of $${\sin ^2}\beta $$ in terms of a and b is?
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Question 265easy
The value of tan 1°.tan 2°.tan 3° ............. tan 89° is?
Question 266easy
If α + β = 90° and α : β = 2 : 1, then the ratio of cosα to cosβ is?
Question 267easy
The value of $$\left[ {\frac{{{{\sin }^2}{{24}^ \circ } + {{\sin }^2}{{66}^ \circ }}}{{{{\cos }^2}{{24}^ \circ } + {{\cos }^2}{{66}^ \circ }}} + {{\sin }^2}{{61}^ \circ } + \cos {{61}^ \circ }\sin {{29}^ \circ }} \right]$$ is equal to
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Question 268easy
If $$\frac{{{\text{sec}}\theta + {\text{tan}}\theta }}{{{\text{sec}}\theta - {\text{tan}}\theta }} = 2\frac{{51}}{{79}}{\text{,}}$$ then the value of $$\sin \theta $$ is?
Question 269easy
If 7sin2θ + 3cos2θ = 4, then the value of secθ + cosecθ is?
Question 270easy
The numerical value of $$\left( {\frac{1}{{\cos \theta }} + \frac{1}{{\cot \theta }}} \right)$$ $$\left( {\frac{1}{{\cos \theta }} - \frac{1}{{\cot \theta }}} \right)$$ is?