Trigonometric EquationHard
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 +
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
A tetrahedron has vertices at O (0, 0, 0), A (1, 2, 1), B (2, 1, 3) and C (- 1, 1, 2). Then the angle between the faces ...cot θ = sin 2θ (where θ ≠ nπ, n is an integer ) then θ =...Which of the following is correct -...The solution of equation 13 − 4 cos2x = 12 sin x is -...The general solution of the equation cos x + sec x = 2 is given by-...