If sin Θ + cos Θ = √3, then prove that tan Θ + cot Θ = 1

Chapter – Trigonometry ( Introduction )
Class 10th Maths​

1 thought on “If sin Θ + cos Θ = √3, then prove that tan Θ + cot Θ = 1<br /><br />Chapter – Trigonometry ( Introduction )<br />Class 10th Maths​”

1. Answer:

   sinθ+cosθ=

   3

   =(sinθ+cosθ)

   2

   =3

   =sin

   2

   θ+cos

   2

   θ+2sinθcosθ=3

   ⇒2sinθcosθ=2

   ⇒sinθcosθ=1

   ⇒sinθcosθ=sin

   2

   θ+cos

   2

   θ

   ⇒1=

   sinθcosθ

   sin

   2

   θ+cos

   2

   θ

   ⇒tanθ+cotθ=1

   Step-by-step explanation:

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