Home
Class 12
MATHS
The angle between the curves y=sin x and...

The angle between the curves `y=sin x and y = cos x, 0 lt x lt (pi) /(2)`, is

Text Solution

Verified by Experts

The correct Answer is:
8
`m_1 = y_1^(') = 1/(sqrt2) , m_2 = y_(2)^(') = (-1)/(sqrt2)`
`tan theta = (2/(sqrt2))/(1-1/2) = 2sqrt(2)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2) , is

The angle of intersection of the curves y=2sin^(2)x and y=cos2x at x=(pi)/(6) is

The ratio of the areas between the curves y=cos x and y=cos2x and x-axis from x=0 to x=(pi)/(3) is

The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

If A is the area lying between the curve y=sin x and x-axis between x=0 and x=pi//2 . Area of the region between the curve y=sin 2x and x -axis in the same interval is given by

The angle of intersection between the curves y=[sin x|+cos x| and x^(2)+y^(2)=10 where [x] denotes the greatest integer <=x is