Question

sin 3x = 3sin30° -
4 sin^2 30°​
Find the value of x

Answer 1

Answer:

$\boxed{\textbf{x=10 degrees}}$

Step-by-step explanation:

$sin30 ^{\circ} = \frac{1}{2} \\\\ =>sin3x=3sin30 ^{\circ} -4sin^230 ^{\circ} \\\\=> sin3x=3(\frac{1}{2}) -4(\frac{1}{2})^2 \\\\sin3x=\frac{3}{2} -4(\frac{1}{4}) \\\\ sin3x=\frac{3}{2}-1 \\\\sin3x=\frac{1}{2} =sin30 ^{\circ} \\\\3x=30 ^{\circ} \\\\ x=\frac{30 ^{\circ}}{3} \\\\ x=10 ^{\circ}$

Answer 2

Step-by-step explanation:

sin 30=1/2

sin²30=1/4