Question

${\bold{\huge{Explanation\:Required}}}$

Please answer above question in the attachment ​

Answer 1

$\huge \: \red \star \: { \large \pink { \underline\mathcal{ANSWER}} } \: \red\star \: \:$

$\blue{ \mathrm{concept}}$

a cosx + b sinx will always lie in the intervel of

$- \sqrt{ { {a}^{2} + {b}^{2}} }, \sqrt{ {a}^{2} + {b}^{2} } \:$

that is these are maximum and minimum values of given functions.

$\blue{ \mathrm{solution}}$

we have to find minimum value

minimum value of 5cosx + 12 sinx is

$\longrightarrow - \ \sqrt{ {5}^{2} + {12}^{2} } \\ \longrightarrow - \sqrt{169} \\ \longrightarrow - 13 \:$

so minimum value of function is

$</p><p> \longrightarrow \: \: -13+12 \\ \longrightarrow \: \: \: - 1$

hope it helps

Answer 2

the answer is this.. bHsvsv