Trigonometrical Equations
normal

સમીકરણ  $2^x + x = 2^{sin \ x} +  \sin x$ ના $[0,10\pi ]$  માં કુલ કેટલા ઉકેલો મળે ?

A

$5$

B

$6$

C

$11$

D

$1$

Solution

$\because x \geq \sin x \forall x \in[0,10 \pi]$

$\Rightarrow x+2^{x} \geq \sin x+2^{\sin x} \forall x \in[0,10 \pi]$

and equality holds only at $x=0$

Standard 11
Mathematics

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