Question

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

Chapter - Trigonometry ( Introduction )
Class 10th Maths​

Answer 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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