Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
Answer:
n = -2
Step-by-step explanation:
I don’t know, since we don’t know what the story is about.
Answer:
y=3x^2
Step-by-step explanation:
edge
The given data of the problem are 42 combined dvds from Carly and Rob and Carly having 4 more dvds than Rob. Now, the problem wants to find out how many dvds did Rob and Carly owned before combining them. We got a total of 42 dvds at hand, so let's divide it by 2 for Carly and Rob so we have 21 dvds each however, the problem emphasized that Carly had 4 more dvds than Rob. So, 21 dvds added by 4 dvds is the total number of dvds that Carly previously owned meaning Carly owned 25 dvds before while Rob owned only 17 dvds.