Question

sin+cos=√3 prove that tan +cot=1

Answer 1

 sin θ + cos θ = √3 

square both sides. Use sin^2 θ + cos^2 θ = 1 

1 + 2 sin θ cos θ = 3 

sin θ cos θ = 1 

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tan θ + cot θ = 

(sin θ / cos θ) + (cos θ / sin θ) = 

(sin^2 θ + cos^2 θ) / (sin θ cos θ) = 

1/1 = 

1