What is the value of:
$8\sqrt{3} sin30^o tan 60^o - 3cos0^o +3sin^245^o+2cos^230?$
Answer & explanation
Correct answer: option 2
$8\sqrt{3} sin30^o tan 60^o - 3cos0^o +3sin^245^o+2cos^230?$
= 8 √3 × \(\frac{1}{2}\) × √3 - 3 × 1 + 3 × \(\frac{1}{2}\) + 2 × (\(\frac{√3}{2}\))2
= 12 - 3 + \(\frac{3}{2}\) + \(\frac{3}{2}\)
= \(\frac{18 + 3 + 3 }{2}\) = 12