Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of:

$8\sqrt{3} sin30^o tan 60^o - 3cos0^o +3sin^245^o+2cos^230?$

Options:

15

12

9

18

Correct Answer:

12

Explanation:

$8\sqrt{3} sin30^o tan 60^o - 3cos0^o +3sin^245^o+2cos^230?$

= 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