Question:
The number of solutions of the equation
\[
3 \sin^2 x - 7 \sin x + 2 = 0
\]
in the interval \( [0, 5\pi] \) is
The number of solutions of the equation
\[
3 \sin^2 x - 7 \sin x + 2 = 0
\]
in the interval \( [0, 5\pi] \) is
Show Hint
For trigonometric equations, first solve the corresponding equation for the trigonometric function and then determine how many solutions lie within the given interval.
Updated On: Apr 1, 2025
- 0
- 5
- 6
- 7
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The Correct Option is C
Solution and Explanation
The equation is solved by finding the solutions of the corresponding quadratic equation in \( \sin x \) and determining how many solutions lie in the interval \( [0, 5\pi] \).
The number of solutions is 6.
The number of solutions is 6.
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