Prove cos theta sin theta root 2 cos theta
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if cos theta + sin theta is equal to root 2 cos theta then prove that cos theta minus sin theta is equal to root 2 Sin Theta
Answered by admin @
Heya User ,
--> cos θ + sin θ = √2 cos θ
--> sin θ = √2 cos θ - cos θ
=> sin θ = ( √2 - 1 ) cos θ
=> [ sin θ / ( √2 - 1 ) ] = cos θ
=> [ sin θ ( √2 + 1 ) / ( 2 - 1 ) ] = cos θ
0_0 --> We rationalized the denominator in the 2nd step ^_^
=> [ √2 sin θ + sin θ ] = cos θ
=> cos θ - sin θ = √2 sin θ
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