How do you find all solutions if 0 ≤ θ < 2π for #sin x cos 2x + cos x sin 2x = 1/2#?
1 Answer
Dec 6, 2015
Solve trig equation.
Ans:
Explanation:
Apply the trig identity: sin a.cos b + sin b.cos a = sin (a + b).
sin (x + 2x) = sin 3x = 1/2
Trig table of special arcs -->
sin 3x = 1/2 --> 3x = pi/6 and 3x = (5pi)/6
a.
b.
