Question

hello can you help me with this trigonometry question and this a homework assignment and make sure it's accurate to at least two decimal places

Answer 1

We need to solve this trigonometry equation for x. To solve it, we can proceed as follows:

$4\cdot\sin (6x)=3\Rightarrow\sin (6x)=\frac{3}{4}\Rightarrow arc\sin (\sin (6x))=\arcsin (\frac{3}{4})$

Then, we have that:

$6x=\arcsin (\frac{3}{4})\Rightarrow6x=0.84806\Rightarrow x=\frac{0.84806}{6}\Rightarrow x=0.14134\approx0.14$

Then, the value for x with at least two decimal places is x = 0.14134 (in radians).