Question

sino + coso = 3 , then prove that tano + cot0 = 1
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Answer 1

Answer:

  tan θ + cot θ = 1 / 4

Step-by-step explanation:

sinθ + cosθ = 3

(sinθ + cosθ)² = 3² = 9

sin²θ + cos²θ + 2sinθcosθ = 9

1 + 2sinθcosθ = 9

2sinθcosθ =9 - 1

2sinθcosθ = 8

sinθcosθ = 4

tanθ + cotθ

= sinθ / cosθ + cosθ / sinθ

= sin²θ + cos²θ / sinθcosθ

= 1 / 4