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Question Number 206912 by BaliramKumar last updated on 30/Apr/24

Answered by A5T last updated on 30/Apr/24

$${cos}^2\theta +3(1-{cos}^2\theta )+2=5-2{cos}^2\theta$$$$\Rightarrow Max=5-0;Min=5-2\Rightarrow Difference=2$$

Answered by mr W last updated on 30/Apr/24

$$1-{\sin }^2\theta +3{\sin }^2\theta +2$$$$=3+2{\sin }^2\theta$$$$⩾3=min$$$$⩽5=max$$$$\Rightarrow max-min=2\Rightarrow \left(c\right)$$

Answered by MM42 last updated on 30/Apr/24

$$\frac{1+cos2\theta }{2}+3\frac{1-cos2\theta }{2}+2$$$$=4-cos2\theta$$$$\Rightarrow M=5\mathrm{\&}m=3\Rightarrow M-m=2✓$$$$$$

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