prove that x/y = cos alpha - cos beta / sin beta - sin alpha
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mohdwaseemakram75:
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10th
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Answer:
⇒⇒1cosα+i sinα×cosα−i sinαcosα−i sinα+1cosβ+i sinβ×cosβ−i sinβcosβ−i sinβ+1cosγ+i sinγ×cosγ−i sinγcosγ−i sinγ1cosα+i sinα×cosα-i sinαcosα-i sinα+1cosβ+i sinβ×cosβ-i sinβcosβ-i sinβ+1cosγ+i sinγ×cosγ-i sinγcosγ-i sinγ
⇒⇒cosα−i sinαcos2α − i2sin2α+cosβ−i sinβcos2β − i2sin2β+cosγ−i sinγcos2γ − i2sin2γcosα-i sinαcos2α - i2sin2α+cosβ-i sinβcos2β - i2sin2β+cosγ-i sinγcos2γ - i2sin2γ
⇒⇒cosα - i sinα + cosβ - i sinβ + cosγ - i sinγ
⇒⇒(cosα + cosβ + cosγ) - i (sinα + sinβ + sinγ)
⇒⇒(cosα + cosβ + cosγ) + (cosα + cosβ + cosγ) (from (1) )
⇒⇒2 (cosα + cosβ + cosγ)
Step-by-step explanation:
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