MCQ practice · SSC General Mathematics Board questions · Chapter 9: Trigonometric Ratio
If 3sin²θ − 4cos²θ = 0, what is tanθ?
Think it through first, then pick an option.
- a 3/4
- b 4/3
- c 3/√2
- d 2/√3
Answer and explanation
Correct answer: d 2/√3
3 sin²θ = 4 cos²θ; dividing by cos²θ gives tan²θ = 4/3, so tan θ = 2/√3.
Why the other options are wrong
- a 3/4: 3/4 is the inverted ratio 1/tan²θ; tan²θ = 4/3 so tan θ = 2/√3.
- b 4/3: 4/3 is tan²θ; the square root was forgotten, so tan θ = 2/√3.
- c 3/√2: 3/√2 comes from no step here; 3 sin²θ = 4 cos²θ gives tan²θ = 4/3.
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