4 sin^2 θ + 13cos^2 θ = 7 sin^2 θ = 1 - cos^ θ 4 - 4cos^2 θ + 13cos^2 θ = 7 9cos^2 θ = 3 cos^2 θ = 1/3 cos θ = # (1/3) # - square root Square root of (1/3) has +1/3 and -1/3 as values of cos Find the key angle by doing the cos inverse of #1/3 K.A = cos^-1 #(1/3) = 0.955 θ lies in all 4 quadrants The values of θ are: θ = 0.955, 2.186, 4.096, 7.23 Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571 The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
The answer is that Jade's chickens laid more eggs. Since Jade's farm includes 9 chickens, which each laid 3 eggs, multiply 9 and 3 and you get 27. Edna's farm has chickens which, in total, laid 23 eggs, leading to Jade's chickens with 27 eggs to be more than the eggs laid by Edna's chickens. :)
