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Solve the following problem, find out the value of theta Cosec theta = 1+ cot theta

Solve the following problem, find out the value of theta 
 
Cosec theta = 1+ cot theta 
 

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2 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
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Vinit Sancheti
42 Points
5 years ago
Cosecθ = 1 + Cotθ
⇒1/Sinθ = 1 + Cosθ/Sinθ
⇒1/Sinθ = (Sinθ + Cosθ)/Sinθ
⇒Sinθ + Cosθ = 1
Squaring both sides,
⇒Sin2θ + Cos2θ + 2SinθCosθ = 1
⇒1 + Sin2θ = 1
⇒Sin2θ = 0
⇒2θ = nπ
⇒θ = nπ/2

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