Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan4x + tan2x = 1, find cos4x + cos2x = ?

Options:

0

1

2

-1

Correct Answer:

1

Explanation:

= tan2x (tan2x + 1) = 1

= tan4x . sec2x = 1

⇒ tan2x = \(\frac{1}{sec^2x}\) = cos2

⇒ tan2x = cos2

⇒ sin2x = cos4

Put in find

⇒ cos4x + cos2

sin2x + cos2x = 1