Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of sin30° + cos30° - tan45° ?

Options:

$\frac{\sqrt{3}-1}{2}$

$\frac{\sqrt{2}+1}{\sqrt{2}}$

$\frac{\sqrt{3}+1}{2}$

$\frac{1-\sqrt{3}}{2}$

Correct Answer:

$\frac{\sqrt{3}-1}{2}$

Explanation:

sin30° + cos30° - tan45°

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

= \(\frac{1 +√3 - 2  }{2}\) 

= \(\frac{√3 - 1  }{2}\)