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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
Answer:
x^2 + y^2 = 49
Step-by-step explanation:
For center (h,k) and radius r, eqution of the respective circle is
(x-h)^2 + (y-k)^2 = r^2
Answer:
28
Step-by-step explanation:
140 divided by 5 is 28
224 divided by 8 is 28
480 divided by 15 is 28
Answer: 1,600
Explanation: I used Siri lol
