Question

14. यदि sinθ + cosθ = √(2) cosθ , हो, तो tanθ का मान है :
(A) √2 (B) 1
(C) √(2) −1 (D) √2 + 1

Answer 1

Answer:

tanθ = √2 - 1

Step-by-step explanation:

यदि sinθ + cosθ = √(2) cosθ,

= > sinθ + cosθ = √(2) cosθ

= > (sinθ + cosθ)/cosθ = √(2)

= > (sinθ/cosθ) + (cosθ/cosθ) = √2

sinA/cosA = tanA

= > tanθ + 1 = √2

= > tanθ = √2 - 1