LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
Answer:
A. 1/5
Step-by-step explanation:
Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.
Answer:
10.8
Step-by-step explanation:
becaue you need to mutiply all sides
8/3 =2.6666
2.6666*2 =5.33333
A cake decorator needs 5.333 hours
Answer:
S'(-6, 3); T'(-6, 4); U'(4, 4); V'(4, 3)
Step-by-step explanation:
S(-4, 7)
T(-4, 8)
U(6, 8)
V(6, 7)
(x - 2, y - 4)
S'(-4 - 2, 7 - 4)
S'(-6, 3)
T'(-4 - 2, 8 - 4)
T'(-6, 4)
U'(6 - 2, 8 - 4)
U'(4, 4)
V'(6 - 2, 7 - 4)
V'(4, 3)
