Trigonometric EquationHard
Question
The equation of the normal to the curve y = x + sin x cos x at x = π/2 is-
Options
A.x = 2
B.x = π
C.x + π = 0
D.2x = π
Solution
y = x + sinx.cosx
y = x +
y′ = cos2x + 1
y′(π/2) = 0
x = π/2
y = x +
y′ = cos2x + 1
y′(π/2) = 0
x = π/2
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
Number of solutions of the equation six x + sin y + sin z = - 3 for 0 ≤ x ≤ 2 π, 0 ≤ y ≤ 2 ...If x ∈, the greatest positive solution of 1 + sin4 x = cos2 3x is-...Locus of centroid of the triangle whose vertices are (a cos t, a sin t), (b sin t, - b cos t) and (1, 0), where t is a p...If cot(3α - 7β) tan (5β - α) = 1, α∈(0, π), β∈ and L = 2√2 sin , th...The general value of θ satisfying the equation sin2θ − 2cosθ + = 0...