Trigonometric EquationMedium
Question
General solution of equation 1 + cot θ = cosec θ is-
Options
A.2nπ ± 
B.nπ + (-1)n 
C.2nπ + π/2
D.None of these
Solution
1 + cot θ = cosec θ
1 +
⇒ sin θ + cos θ = 1
⇒
sin θ + 
cos θ = 
cos
= cos 
θ -
= 2nπ ± 
take + ive sign
θ = 2nπ +
1 +
⇒ sin θ + cos θ = 1
⇒
sin θ + cos θ = cos
= cos θ -
= 2nπ ± take + ive sign
θ = 2nπ +
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