Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Answer:
30° and 12
Step-by-step explanation:
The sum of the exterior angle and the interior angle = 180°
sum the parts of the ratio, 1 + 5 = 6 parts
Divide 180° by 6 to find the value of one part of the ratio
180° ÷ 6 = 30° ← value of 1 part of the ratio
(i)
The exterior angle = 30°
(ii)
The sum of the exterior angles of a polygon is 360°
To find the number of sides n divide 360 by 30 , that is
n = 360 ÷ 30 = 12
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
Answer:
no. because they are bot equivalent ratios or proportions
The same as the last question. B the second option.
