Math, asked by palakdhiman05, 7 months ago

prove that sin (270° + A) = -cosA​

Answers

Answered by Anonymous
4

Answer:

sin (270° - θ) = - cos θ, [since sin (90° - θ) = cos θ]

cos (270° - θ) = cos [180° + 90° - θ]

   = cos [180° + (90° - θ)]

 = - cos (90° - θ), [since cos (180° + θ) = - cos θ

Therefore, cos (270° - θ) = - sin θ, [since cos (90° - θ) =  sin θ]

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Answered by sumitg1011
2

sin(270+A) = sin(360-(90-A))

360-(90-A) will be in 4th Quadrant

sin(360-(90-A)) = -sin(90-A)

90-A will be in 1st Quadrant

-sin(90-A) = -cosA

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