Question

If Sinx =1/2 find 4cot2x+4

Answer 1

Step-by-step explanation:

$\because \: sin \: x = \frac{1}{2} \\ \therefore \: sin \: x =sin \: 30 \degree \\ \implies \: x = 30 \degree \\ now \\ 4 {cot}^{2} x + 4 = 4{cot}^{2} 30 \degree + 4 \\ = 4 \times {( \sqrt{3}) }^{2} + 4 \\ = 4 \times 3 + 4 \\ = 12 + 4 \\ = 16 \\ thus \\ \huge \boxed{ 4 {cot}^{2} x + 4 =16}$