Question

If tan 45º -cos 30º = x sin 30 cos 60°, then find the value of x.​

Answer 1

Answer:

4-2√3

Step-by-step explanation:

$\tan(45) - \cos(30) = x \sin(30) \cos(60) \\ = > 1 - \frac{ \sqrt{3} }{2} = x \times \frac{1}{2} \times \frac{1}{2 } \\ = > \frac{2 - \sqrt{3} }{2} = x \times \frac{1}{4} \\ = > x = 2(2 - \sqrt{3} ) \\ = > x = 4 - 2 \sqrt{3}$

HOPE IT HELPS :D