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
You are 11 and 14
You can find this by guessing and checking, add any numbers that are 3 apart from each other.
14-11=3
14+11=25
The answer is -5 because a negative times a negative is a positive.
Answer:
Factor the numerator and denominator and cancel the common factors.
20
Step-by-step explanation:
Answer:
there away from eachother for 5 spaces.
Step-by-step explanation: