Question

If sinθ+cosθ= √(3 ) then find the value of tanθ+cot⁡θ .​

Answer 1

Step-by-step explanation:

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