MHT CET · Maths · Trigonometric Equations
The number of values of \(x\) in interval \([0,5 \pi]\) satisfying the equation \(3 \sin ^2 x-7 \sin x+2=0\) is
- A 0
- B 5
- C 4
- D 6
Answer & Solution
Correct Answer
(D) 6
Step-by-step Solution
Detailed explanation
Let \(y = \sin x\). \(3y^2 - 7y + 2 = 0\) \(y = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(3)(2)}}{2(3)} = \frac{7 \pm \sqrt{49 - 24}}{6} = \frac{7 \pm 5}{6}\)
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