Question
Download Solution PDFsin4θ + cos4θ in terms of sinθ can be written as:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sin4θ + cos4θ
Concept used:
cos2θ = 1 - sin2θ
Calculation:
sin4θ + cos4θ
⇒ sin4θ + (cos2θ)2
⇒ sin4θ + (1 - sin2θ)2
⇒ sin4θ + 1 + sin4θ - 2sin2θ
⇒ 2sin4θ + 1 - 2sin2θ
⇒ 2sin4θ - 2sin2θ + 1
∴ The required answer is 2sin4θ - 2sin2θ + 1.
Last updated on Jul 21, 2025
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