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)=(3)/(4)\Rightarrow arc\sin (\sin (6x))=\arcsin ((3)/(4))`

Then, we have that:

`6x=\arcsin ((3)/(4))\Rightarrow6x=0.84806\Rightarrow x=(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).