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The smallest value of $5 \cos \theta+12$ is
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Verified Answer
The correct answer is:
7
$$
\begin{aligned}
& \text { Hints : } 5 \cos \theta+12,-1 \leq \cos \theta \leq 1 \\
& \Rightarrow-5 \leq 5 \cos \theta \leq 5 \\
& \therefore 5 \cos \theta+12 \geq-5+12 \Rightarrow 5 \cos \theta+12 \geq 7
\end{aligned}
$$
\begin{aligned}
& \text { Hints : } 5 \cos \theta+12,-1 \leq \cos \theta \leq 1 \\
& \Rightarrow-5 \leq 5 \cos \theta \leq 5 \\
& \therefore 5 \cos \theta+12 \geq-5+12 \Rightarrow 5 \cos \theta+12 \geq 7
\end{aligned}
$$
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