Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

$sin^4θ+ cos^4θ$ in terms of sinθ can be written as:

Options:

$2sin^4θ+2sin^2θ-1$

$2sin^4θ-2sin^2θ$

$2sin^4θ-2sin^2θ-1$

$2sin^4θ-2sin^2θ+1$

Correct Answer:

$2sin^4θ-2sin^2θ+1$

Explanation:

sin4θ+ cos4θ

we know , cos2θ = 1 - sin2θ 

= sin4θ + ( 1 - sin2θ  )2

= sin4θ + 1 + sin4θ - 2sin2θ 

= 2sin4θ  - 2sin2θ + 1