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Question Number 113872 by Aina Samuel Temidayo last updated on 15/Sep/20

log_(1/( (√2))) sinx >0, x∈[0,4π], then the  number of values of x which are  integral multiples of (π/4), is.

$$\mathrm{log}_{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} \mathrm{sinx}\:>\mathrm{0},\:\mathrm{x}\in\left[\mathrm{0},\mathrm{4}\pi\right],\:\mathrm{then}\:\mathrm{the} \\ $$ $$\mathrm{number}\:\mathrm{of}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}\:\mathrm{which}\:\mathrm{are} \\ $$ $$\mathrm{integral}\:\mathrm{multiples}\:\mathrm{of}\:\frac{\pi}{\mathrm{4}},\:\mathrm{is}. \\ $$

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