Question:
The number of integral values of ' $k$ ' for which the equation
$3 \sin \mathrm{x}+4 \cos \mathrm{x}=\mathrm{k}+1$ has a solution, $k \in R$ is
Solution:
$3 \sin x+4 \cos x=k+1$
$-5 \leq \mathrm{k}+1 \leq 5$
$-6 \leq \mathrm{k} \leq 4$
$-6,-5,-4,-3,-2,-1,0,1,2,3,4 \mid \Rightarrow 11$ integral values
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