if sinФ +cosФ= √2 cosФ, (Ф≠90°) then value of tan is ?
Answers
Answered by
6
Given :
To Find :
Solution :
Method 1
Both side divided by Cos Ø
Method 2
Squaring both sides
Answered by
28
Answer:
Given:
sinθ + cosθ = √2cosθ
to find:
value of tanθ
solution:
squaring both sides-->
(sinθ + cosθ)^2 = (√2cosθ)^2
sinθ^2 + cosθ ^2 +2sinθcosθ= 2cosθ^2
=> 1+ 2sinθcosθ = 2cosθ^2
=> sin2θ = cos2θ
=>2θ = (90-2θ )
=> 4θ = 90
=>θ = 22.5°
=> tan θ = √2-1
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