Making use of the following identities
sin 2x = 2 sin x cos x
cos 2x = 2 cos^2x - 1
we can write:

Equation (1) can be factorized to give, on the right hand side:
2 cos x(sin x - cos x) + 1
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
Given:
Values of a polynomial P(x).




To find:
The remainder when P(x) is divided by (x+5).
The remainder when P(x) is divided by (x-3).
Solution:
If a polynomial P(x) is divided by (x-a), then the remainder is P(a).
If the polynomial P(x) is divided by (x+5), then the remainder is P(-5).

Therefore, the remainder is -2 when P(x) is divided by (x+5).
If the polynomial P(x) is divided by (x-3), then the remainder is P(3).

Therefore, the remainder is 7 when P(x) is divided by (x-3).
Answer:
7y = 42
y = 42/7
y = 6
Frank got 6 popcorn balls
Answer:
25
Step-by-step explanation:
200 divided by 8