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
The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.
<h3>What is the written form of the mathematical expression given in the task content?</h3>
It follows from the task content that the expression given is; 2 − (p + 6).
Since, the expression in the parentheses can be expressed in words as the sum of; p and 6.
Hence, it follows that the whole expression can be expressed as the difference between 2 and the sum of p and 6.
Read more on expression in words;
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Answer:
Cool
Step-by-step explanation:
