Question

7.2 advanced trig equations. I need help solving this advanced trig equation picture included just for practice not for homework or quiz

Answer 1

Solution

$\begin{gathered} 4\sin ^2(x)-13\sin (x)-12=0 \\ \\ \Rightarrow(\sin (x)-4)(4\sin (x)+3)=0 \\ \\ \Rightarrow\sin (x)=4;\sin (x)=-\frac{3}{4} \\ \\ \Rightarrow x=\arcsin (4);x=\arcsin (\frac{3}{4})+180,x=360-\arcsin (\frac{3}{4}) \\ \\ \Rightarrow x=228.590,311.41 \end{gathered}$

Hence x = 228.590,311.41)