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If sin θ − cos θ = 0, then the value of sin4θ + cos4θ is
  • a)
    √2
  • b)
    1/4
  • c)
    1/3
  • d)
    1/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Ifsinθ−cosθ=0, then the value ofsin4θ + cos4θ...
we have, sin θ - cos θ = 0 ⇒ sin θ  = cos θ ⇒ tan θ = 1 ⇒ tan θ  = tan 450 ⇒ θ = 450
now. sin4θ + cos4θ = (1 / √2)4 +  (1 / √2)4 = 1 / 4 + 1 / 4 = 1 / 2    [ as, sin 450 = cos 450 = 1 / √2 ]
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Ifsinθ−cosθ=0, then the value ofsin4θ + cos4θ...
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Ifsinθ−cosθ=0, then the value ofsin4θ + cos4θ isa)√2b)1/4c)1/3d)1/2Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Ifsinθ−cosθ=0, then the value ofsin4θ + cos4θ isa)√2b)1/4c)1/3d)1/2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ifsinθ−cosθ=0, then the value ofsin4θ + cos4θ isa)√2b)1/4c)1/3d)1/2Correct answer is option 'D'. Can you explain this answer?.
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