Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of 3(\(\frac{sin 35°}{cos 55°}\))2 + 2(\(\frac{cos 55°}{sin 35°}\))2

Options:

2

3

5

4

Correct Answer:

5

Explanation:

3(\(\frac{sin 35°}{cos 55°}\))2 + 2(\(\frac{cos 55°}{sin 35°}\))2

⇒ 3(\(\frac{sin 35°}{sin (90°-35°)}\))2 + 2(\(\frac{cos 55°}{cos (90°-55°)}\))2

⇒ 3(\(\frac{sin 35°}{sin 35°}\))2 + 2(\(\frac{cos 55°}{cos 55°}\))2

⇒ 3 + 2 = 5