Question

For the expression
g(t) = g1(t) + g2(t) + g3(t) = Acos(2πft + θA)
where
g1(t) = 35cos(2πft − 15o) g2(t) = 25sin(2πft + 30o)
g3(t) = 15cos(2πft)
and f = 4000 Hz,
a.) Find a phasor expression in polar form for g1(t) ↔ ˜ G1. Express the angle in degrees. (use a calculator to evaluate any trigonometric expressions)
b.) Find a phasor expression in polar form for g2(t) ↔ ˜ G2. Express the angle in degrees. (use a calculator to evaluate any trigonometric expressions)
c.) Find a phasor expression in polar form for g3(t) ↔ ˜ G3. Express the angle in degrees. (use a calculator to evaluate any trigonometric expressions)
d.) Find the value of A in the expression above. Hint: first find the phasor of g(t) ↔ ˜ G
e.) Find the value of θA in the expression above. Express the angle in degrees. Hint: first find the phasor of g(t) ↔ ˜ G

Answer 1