If {log _{1/sqrt 2 }}sin x 0,x in [0,,,4 | vedclass

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Question

(a) $0 < {1 \over {\sqrt 2 }} < 1$

${\log _{1/\sqrt 2 }}\sin x > 0$, $x \in [0,\,4\pi ]$$ \Rightarrow $ $0 < \sin x < 1$

$	heref

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(a) $0 < {1 \over {\sqrt 2 }} < 1$

${\log _{1/\sqrt 2 }}\sin x > 0$, $x \in [0,\,4\pi ]$$ \Rightarrow $ $0 < \sin x < 1$

$	herefore$ Integral multiple of ${\pi \over 4}$ will be ${\pi \over 4},\,{{3\pi } \over 4},\,{{9\pi } \over 4},{{11\pi } \over 4}$

Number of required values $= 4.$

If ${\log _{1/\sqrt 2 }}\sin x > 0,x \in [0,\,\,4\pi ],$ then the number of values of $x$ which are integral multiples of ${\pi \over 4},$ is

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