Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

cos2 (120° - A) + cos2 A + cos2 (120°+A) is equal to ?

Options:

\(\frac{1}{2}\)

 -1\(\frac{1}{2}\)

0

1

Correct Answer:

 -1\(\frac{1}{2}\)

Explanation:

Let A = 60°

cos2 (120°-60°) + cos2 (60°) + cos2 (180°)

= cos2 60° + cos2 60° + cos2 180°

= \(\frac{1}{4}\) × 2 - 1= \(\frac{1}{2}\)  - 1-\(\frac{1}{2}\)