Question

Solve for O sin(x) tan(x)= sin(x)

Answer 1

`(\pi)/(4), \: (5\pi)/(4)`

Explanation:

`\sin(x).\tan(x) = \sin(x) \\ \\ \implies \tan(x) = (\sin(x) )/(\sin(x)) \\ \\ \implies \tan(x) = 1 \\ (\because\:0\leq x\leq 2\pi) \\\\ \implies \tan(x) = \tan (\pi)/(4) \: or \: \tan(x) = \tan \bigg(\pi + (\pi)/(4) \bigg) \\ \\ \implies x = (\pi)/(4) \: or \: x = (5\pi)/(4) \\ \\ \huge{\purple{x = (\pi)/(4), \: (5\pi)/(4)}}`