Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of (\(\frac{sin 27°}{cos 63°}\))2 + (\(\frac{cos 63°}{sin 27°}\))2

Options:

2\(\sqrt {2 }\)

2

0

1

Correct Answer:

2

Explanation:

(\(\frac{sin 27°}{cos 63°}\))2 + (\(\frac{cos 63°}{sin 27°}\))2

⇒ (\(\frac{sin 27°}{sin (90°-27°)}\))2 + (\(\frac{cos 63°}{cos (90°-63°)}\))2

⇒ (\(\frac{sin 27°}{sin 27°}\))2 + (\(\frac{cos 63°}{cos 63°}\))2

⇒ 1 + 1 = 2