Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of sin60° + cos60° + tan45° + \(\frac{3}{2}\) . 

Options:

\(\frac{ √3 +√2 }{2}\)

\(\frac{5 +√2 }{2}\)

 \(\frac{6 + √3  }{2}\)

\(\frac{5 + √3 +√2 }{2}\)

Correct Answer:

 \(\frac{6 + √3  }{2}\)

Explanation:

sin60° + cos60° + tan45° + \(\frac{3}{2}\) 

= \(\frac{√3 }{2}\) + \(\frac{1}{2}\) + 1 + \(\frac{3}{2}\) 

= \(\frac{√3 +1 + 2 + 3}{2 }\) =  \(\frac{6 + √3  }{2}\)