Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of \(\frac{sin30°-cos60°+cot^245°}{cos30°-tan45°+sin90°}\)

Options:

\(\frac{2\sqrt {3}}{3}\)

\(\frac{\sqrt {3}}{2}\)

\(\frac{3}{2}\)

\(\frac{\sqrt {3}}{4}\)

Correct Answer:

\(\frac{2\sqrt {3}}{3}\)

Explanation:

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

=\(\frac{2}{\sqrt {3}}\)×\(\frac{\sqrt {3}}{\sqrt {3}}\)

=\(\frac{2\sqrt {3}}{3}\)