The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correct to the nearest degree.

Therefore the angle of intersection is

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

and

To find the tangent of a carve , we have to differentiate the carve.

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

     [ putting t= 0]

Again,

The tangent at (0,0,0) is    

       [ putting t= 0]

If θ is angle between tangent, then

Therefore the angle of intersection is .

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: