Find the value of sin 45

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of sin 45° . tan 30° . cot 60° . sec 45° .

Options:

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

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

\(\frac{1}{3}\)

Correct Answer:

\(\frac{1}{3}\)

Explanation:

= sin 45° . tan 30° . cot 60° . sec 45°

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