Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of (\(\frac{sin 33°}{cos 57°}\))2 + (\(\frac{cos 57°}{sin 33°}\))

Options:

-1

0

1

2

Correct Answer:

2

Explanation:

(\(\frac{sin 33°}{cos 57°}\))2 + (\(\frac{cos 57°}{sin 33°}\))2

⇒ (\(\frac{sin 33°}{sin (90°-33°)}\))2 + (\(\frac{cos 57°}{cos (90°-57°)}\))2

⇒ (\(\frac{sin 33°}{sin 33°}\))2 + (\(\frac{cos 57°}{cos 57°}\))2

⇒ 1 + 1 = 2