MCQ
$sin^{2n}x + cos^{2n}x$ ની કિમત ............. ની વચ્ચે હોય
- A$-1$ અને $1$
- B$0$ અને $1$
- C$1$ અને $2$
- Dએક પણ નહી
$0 \leq \cos ^{2 \pi} x \leq \cos ^{2} x$
$\left[\because \sin ^{4} x=\sin ^{2} x, \sin ^{2} x \leq \sin ^{2} x \cdot 1\right.$
$\left.\therefore \sin ^{4} x \leq \sin ^{2} x \text { etc. }\right]$
$\Rightarrow \quad 0<\sin ^{2 \pi} x+\cos ^{2 n} x \leq \sin ^{2} x+\cos ^{2} x=1$
$\Rightarrow \quad 0<\sin ^{2 n} x+\cos ^{2 n} x \leq 1$
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