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The most general value of θ satisfying the equation sin θ = sin α and cos θ = cos α is
  • a)
    2nπ + α
  • b)
    2nπ - α
  • c)
    nπ + α
  • d)
    nπ - α
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The most general value of θ satisfying the equation sin θ ...
Given. sin θ = sin α 
⇒  θ = nπ + (-1)n α
⇒ θ = 2nπ+α, (2n+ 1) + π - α
and cosθ = cos α
⇒ θ = 2nπ+α, 2nπ - α
∴ θ  = 2nπ+α, satisfies both equations. 
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The most general value of θ satisfying the equation sin θ = sin α and cos θ = cos α isa)2nπ + αb)2nπ - αc)nπ + αd)nπ - αCorrect answer is option 'A'. Can you explain this answer?
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