Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin θ + sin2 θ = 1, then find cos8 θ + 2cos6 θ + cos4 θ - 3 is equal to:

Options:

- 2

- 5

2

- 6

Correct Answer:

- 2

Explanation:

⇒ sin θ + sin2 θ = 1

⇒ sin θ = 1 - sin2 θ = cos2 θ

⇒ sin θ = cos2 θ  and also sin2 θ = cos4 θ

Now, 

⇒ cos8 θ + 2cos6 θ + cos4 θ - 3 = (cos4 θ + cos2 θ)2 - 3

= (sin2 Θ + sin Θ)2 - 3

= (1)2 - 3 = -2