Question

Solve for (0,2π]
2cos ß * sin ß = cos ß

Answer 1

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

$\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}$

Hence, this is the required solution.