Functions and equations
We have that:
Let's name each side of it with f(x) and g(x):
Then, we have that:
Then, the answer is C
<h2>
Answer: C</h2>
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
30 should be the correct answer
Answer:
10
Step-by-step explanation:
4-1=3 (length of base)
-1-1=-2 (absolute value of height is 2)
3+2+2+3=10
Step-by-step explanation:
y-13<6
y<6+13
y<19
hope it helps.
