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MathematicsBasic mathsLogarithmMedium2 minPYQ_2020
MathematicsMediumnumerical

The number of distinct solutions of the equation,log12sinx=2-log12cosxin the interval0,2π,is ________

Question diagram: The number of distinct solutions of the equation, log 1 2 ⁡
Answer:
8.00
Solution:

log1/2sinx=2-log1/2cosx
log1/2sinxcosx=2
sinxcosx=14
sin2x=±12

Number of solution=8.

Stream:JEESubject:MathematicsTopic:Basic mathsSubtopic:Logarithm
2mℹ️ Source: PYQ_2020

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