Question

Solve for A the eqution 4 sin² A-3=0 if 0°​

Answer 1

Answer:

A = 60°

Step-by-step explanation:

$4sin^{2}A - 3 = 0\\4sin^{2}A = 3\\sin^{2}A = \frac{3}4\\sinA = \sqrt{\frac{3}{4}}\\sinA= \frac{\sqrt{3}}{2}$

We know from the trigonometric values of various angles that:

$sin60 = \frac{\sqrt{3}}{2}$

∴ $sinA = sin60$

∴ A = 60°