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