Question

prove that 2cos^2x+3sinx=0

Answer 1

$2cos {}^{2} x + 3sinx = 0$

$2(1 - sin {}^{2} x) + 3sinx = 0$

$2 - 2sin {}^{2} x + 3sinx = 0$

$take \: - \: common$

$2sin {}^{2} x - 3sinx - 2 = 0$

$2sin {}^{2} x - 4sinx + sinx - 2 = 0$

$2sinx(sinx - 2) + 1(sinx - 2) = 0$

$(2sinx + 1)(sinx - 2) = 0$

Thanks