Math, asked by JavidEbrahim, 1 year ago

If CosQ + Sin Q = root 2 CosQ Show that CosQ - SinQ = root 2 SinQ

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Answered by riaagarwal3
65
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Answered by Anonymous
19

cos Ф + sin Ф = √2 cos Ф


⇒ sin Ф = cos Ф( √2 – 1)


sin Ф = cosФ ( √2 - 1)( √2+1) ÷ ( √2+1)


sin Ф = cosФ (2 - 1) ÷ √2 + 1


⇒ ( √2 + 1)sin Ф = cos Ф


⇒ √2 sin Ф + sin Ф = cos Ф


⇒ cos Ф – sin Ф = √2 sin Ф



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