Exams › JEE Main › Maths
The solutions of the equation | 1 + sin^2 x sin^2 x sin^2 x | | cos^2 x 1 + cos^2 x cos^2 x | = 0, (0 < x < π) | 4 sin 2x 4 sin 2x 1 + 4 sin 2x | Are
- π/12, π/6
- π/6, 5π/6
- 5π/12, 7π/12
- 7π/12, 11π/12
Correct answer: 7π/12, 11π/12
Solution
The correct option is right because the determinant of the matrix must equal zero, leading to specific values of x that satisfy the equation. Upon solving, the angles 7π/12 and 11π/12 emerge as the solutions within the specified interval.
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