Trigonometric EquationHard
Question
Number of lines which are tangent to y sin x - 
& normal to y = cosx in x ∈ [0, 2π], is -
& normal to y = cosx in x ∈ [0, 2π], is - Options
A.1
B.0
C.2
D.3
Solution
Tangent to y sin x - 
at (α, sin α - ) is y - sin α + = cos α(x - α) .......(i)
Normal to y = cosx at (β, cosβ) is y - cos β =
(x - β) .......(ii)
on comparing (1) & (2)
cos α = ⇒ cos α. sinβ = 1
possible pairs of (α, β) are
only for α = 0, β =
(1) & (2) are same
at (α, sin α - ) is y - sin α + = cos α(x - α) .......(i)Normal to y = cosx at (β, cosβ) is y - cos β =
(x - β) .......(ii)on comparing (1) & (2)
cos α =
⇒ cos α. sinβ = 1possible pairs of (α, β) are
only for α = 0, β =
(1) & (2) are sameCreate a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
The resultant R of two forces acting on a particle is at right angles to one of them and its magnitude is one third of t...The number of solution of tan x + sec x = 2cos x in [0, 2π) is...If tan + 2tan + 4 cot , then n - 2m is :-...If sec θ + tan θ = P then the value of sin θ is -...A tangent is drawn at a point P on the parabola y2 = 4x to intersect x-axis at Q. From Q a line is drawn perpendicular t...