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If sin teta + cos teta=√3 then prove that tan teta+cot teta =1​

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Answer:

  • sin∅ + cos∅ = √3

  • tan∅ + cot∅ = 1

We know ,

Squaring both sides , we get ,

By identity , (a+b)² = a² + b² + 2ab

We have ,

By equation (i) , cos∅.sin∅ = 1

Hence , tan∅+cot∅=1 (proved)

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