# F(x) = (3sinx – 4cosx) – 7 how to find its maximum and minimum value

Arun
25758 Points
5 years ago
we should know that
for anyepression like
a sinx + b cosx  OR  a sinx –b cosx
maximum value is = $\sqrt{}$(a2 + b2)
while minimu value is =  $\sqrt{}$(a2 + b2)
hence for the given question
maximum value is = $\sqrt{}$(32 + 42) – 7 = 5 –7 = –2
minimum value is = – $\sqrt{}$(32 + 42) – 7  =  –5 – 7 = –12