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If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?.
Ans: Cos? + Sin? = √2 Cos?
⇒ ( Cos? + Sin?)2 = 2Cos2?
⇒ Cos2? + Sin2?+2Cos? Sin? = 2Cos2?
⇒ Cos2? - 2Cos? Sin?+ Sin2? = 2Sin2? ( ∴2Sin2? = 2 - 2Cos2?)
⇒ (Cos? - Sin?)2 = 2Sin2? (1- Cos2? = Sin2? & 1 - Sin2? = Cos2?)
or Cos? - Sin? = √2 Sin?.
what the answer to 1/4+1/3=3/12=?
A={2,3,5,7,11} B={1,3,5,7,9} C={10,20,30,40,......100} D={8,16,24,32,40} E={W,O,R,K} F={Red,Blue,Green} G={March,May} H={Jose,John,Joshua,Javier} I={3,6,9,12,15}
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