Question

1.) A circle has a radius of 12 centimeters. Find the area of the sector of the circle formed by an angle of 25 degrees. is necessary, round the answer to two decimal places.

2.) Is the function f(theta) = sin theta + cos theta even, odd, or neither? show how

Answer 1

I'm taking it that the 25o angle has its apex at the center.
360o / pi*r^2 = 25/ x where x is the area when the central angle is 25o.
Cross multiply
360x = 25*3.14*12^2
360x = 11304
x = 11304 / 360
x = 31.4 cm^2

Two
f(x) = sin(theta)+cos(theta)
f(-x) = sin(-theta) + cos(-theta)
f(-x) = - sin(theta) + cos(theta) They are not the same. f(x) is odd.