Question

if sin∅=1/2. find the value of 3cot²∅+2tan∅-2cos²∅​

Answer 1

Step-by-step explanation:

Here ,

sin theta = 1/2

so , theta = 30°

now,

from question

$3 (\cot^{2} 30) + 2( \tan(30) ) - 2( \cos^{2} 30) \\ \\ = 3( \sqrt{3})^{2} + 2( \frac{1}{ \sqrt{3} }) - 2( \frac{ \sqrt{3} }{2} )^{2} \\ \\ = 3(3) + \frac{2}{3} - \frac{3}{2} \\ \\ = 9 + \frac{2}{3} - \frac{3}{2} \\ \\ = \frac{54 + 4 - 9}{6} \\ = \frac{49}{6}$

keep smiling &

always shining.......:)