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  • 15-05-2022
  • Mathematics
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[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1

PRECALC Verify the following trigonometric identity using sin2x cos2x 1 class=

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Аноним Аноним
  • 15-05-2022

Answer:

See below ~

Step-by-step explanation:

Identities :

  1. cot x = cos x / sin x
  2. sin²x + cos²x = 1

Changing the Left Hand Side (LHS) :

  • 1/cot x + cotx
  • 1/(cos x / sin x) + cos x / sin x
  • sin x / cos x + cos x / sin x
  • Take (sin x)(cos x) as the LCM (Least Common Multiple)
  • sin x (sin x) + cos x (cos x) / (sin x) (cos x)
  • sin²x + cos²x / cos x sin x
  • 1/cos x sin x
  • Equal to the RHS
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