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What is sin4θ - cos4θ equal to for any real number θ?
  • a)
    1
  • b)
    1 - 2 sin2θ
  • c)
    2 cos2θ + 1
  • d)
    1 - 2 cos2θ
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is sin4θ - cos4θ equal to for any real number θ...
sin2 θ = 1 - cos2 θ
∴ sin4θ - cos4 θ = (1 - cos2θ)2 - cos4 θ
⇒ 1 - 2cos2 θ + cos4 θ - cos4 θ [∵ (a - b)2 = a2 - 2ab + b2]
⇒ 1 - 2cos2 θ
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What is sin4θ - cos4θ equal to for any real number θ?a)1b)1 - 2 sin2θc)2 cos2θ + 1d)1 - 2 cos2θCorrect answer is option 'D'. Can you explain this answer?
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