What is the angle of intersection of the curves?

Let y = f (x) and y = g (x) be two given intersecting curves. Angle of intersection of these curves is defined as the acute angle between the tangents that can be drawn to the given curves at the point of intersection.

How do you find the intersection of sine and cosine?

Because y=y at the point of intersection, we can write the following equation:

1. −cos(x)=sin(x)
2. Divide both sides by cos(x) :
3. Use the identity tan(x)=sin(x)cos(x) :
4. tan(x)=−1.

What is the range of Sinx and COSX?

The range of the function is y≤−1 or y≥1 . The graph of the cotangent function looks like this: The domain of the function y=cot(x)=cos(x)sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The range of the function is all real numbers.

How do you find the angle of a curve?

definition

1. Find the point of intersection of the two given curves.
2. Find the equation of tangent for both the curves at the point of intersection.
3. Find slope of tangents to both the curves.
4. tanθ=1+m1​m2​m1​−m2​​

What is sinx COSX?

tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is the domain of sinx COSX?

In the above six trigonometric ratios, the first two trigonometric ratios sin x and cos x are defined for all real values of x. The two trigonometric ratios sin x and cos x are defined for all real values of x. So, the domain for sin x and cos x is all real numbers.

What is the angle of a curve?

The angle between curves is in most cases defined as the angle between their tangents at the point of intersection. For instance the angle between a circle and a tangent gets a measure 0 in this way.