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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
The number of roots of the equation, (81)sin⁡2x+(81)cos⁡2x=30{\left( {81} \right)^{\sin }}^{^2x} + {\left( {81} \right)^{\cos }}^{^2x} = 30 in the interval [0, π]\left[ {0,\,\pi } \right] is equal to:
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Correct option: C
4
Option C (4) is correct because solving the trigonometric equation yields four solutions within the specified interval [0, π].

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