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
Hope it helped!
Answer:
9/40?
Step-by-step explanation:
Answer: 1/5 or 8 houses. Company X provides electricity to 8 houses, Company Y provides to 24 houses, so that would mean Company Z provides 8
This is an exact answer. the answer will be a bit larger than 20
Answer:
32n
Step-by-step explanation:
4(8n) = 4 * 8 * n = 32 * n = 32n
thank, 5 star, and brainliest if helpful!
