Trigonometric EquationHard
Question
The number of solution of tan x + sec x = 2cos x in [0, 2π) is
Options
A.2
B.3
C.0
D.1
Solution
The given equation is tan x + sec x = 2cosx ⇒ sin x + 1 = 2cos2x
⇒ sinx + 1 = 2(1-sin2x) ⇒ 2sin2x + sinx - 1 = 0
⇒ (2 sin x - 1) (sinx + 1) = 0 ⇒ sinx =
, - 1 ⇒ x = 30o, 150o, 270o.
⇒ sinx + 1 = 2(1-sin2x) ⇒ 2sin2x + sinx - 1 = 0
⇒ (2 sin x - 1) (sinx + 1) = 0 ⇒ sinx =
, - 1 ⇒ x = 30o, 150o, 270o.Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0, ...Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y ï€ 5 = 0. If its diagonals intersect at (–1,...If α + β = and β + γ = α, then tan α equals...The minimum value of sin θ + √3 cos θ is -...If solution of the equation 3cos2θ - 2√3 sin θ cos θ - 3sin2 θ = 0 are nπ + π/r and ...