Suppose that b is the radian or degree measure of an angle A

Suppose that b is the radian or degree measure of an angle. As long as all factors are defined, which of the following expression is equal to (a) cos^2 (b) (b) 1 (c) sin^2 (b) (d) tan (b) (e) cos^3 (b)/sin (b) Carlton is drinking a glass of water. When the glass contains 18 mL of water, he places it under the water tap and starts refilling. If 4 mL of water enters flows into the glass every 2.5 seconds, how much water will be in the glass 8 seconds after he started refilling? (a) 12.8 mL (b) 30.8 mL (c) 22.5 mL (d) 10 mL (e) 38 mL The implied domain of the function y = f(x) = ln(2x - 1) is the set of (a) all real numbers (b) all real numbers except x = 0 (c) all read numbers x > 0 (d) all real numbers x > 1/2 (e) all real numbers x

Solution

12) cot(b) cos(b)/csc(b) = [cos(b)/sin(b)]cos(b)/csc(b) = cos²(b)

13) water after 8 second = 18 + (4/2.5)x 8 = 18 + 12.8 = 30.8 mL

14) 2x- 1 > 0 => x > 1/2

15) function has vertical asymptote at x =a

16)