Application of DerivativeHard
Question
Angle between the curves y = sin x, y = cos x is-
Options
A.
B.tan-1√2
C.tan-1 2√2
D.None of these
Solution
y = sin x y = cos x
m1 = cos x m2 = -sin x
∴ y = sin x ; y = cos x
sin x = cos x
tan x = 1
x = π/4 ; y =
point
m1 =
; m2 = - 
tan θ =
θ = tan-1
θ = tan-1 (2 √2)
m1 = cos x m2 = -sin x
∴ y = sin x ; y = cos x
sin x = cos x
tan x = 1
x = π/4 ; y =
point
m1 =
; m2 = - tan θ =
θ = tan-1
θ = tan-1 (2 √2)
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