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:
Step-by-step explanation:
1/3 x 1/3 in exponential notation is 1/3². you are multiplying a number by itself so its squared, ig you are multiplying a number by itself three times, then its cubed, with a 3.
Answer:2/3
Step-by-step explanation:
3/9=1/3
1/3+1/3=2/3
6) Which relation describes a function? A) {(0, 0), (0, 2), (2, 0), (2, 2)} B) {(−2, −3), (−3, −2), (2, 3), (3, 2)} C) {(2, −1),
navik [9.2K]
Answer:
B) {(−2, −3), (−3, −2), (2, 3), (3, 2)}
Step-by-step explanation:
B) {(−2, −3), (−3, −2), (2, 3), (3, 2)}
each input of x (-2), (-3), (2), (3) does not have duplicated output value
