# Trigo is not such easy!!

Algebra Level 5

If given $[2cosx] + [sinx]=-3$ Then the range of the function $f(x)=sinx+\sqrt{3}cosx$ can be written as $[a,b]$ Where $x\in[0,2π]$

Find the value of $a^{2}+b^{2}$

$Note: Here [a] represents G.I.F$

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