Answer:
b
Step-by-step explanation:
cos(t) + i * sin(t) = e^(i * t)
Therefore, (cos(t) + i * sin(t)) / (cos(s) + i * sin(s)) = cos(t - s) + i * sin(t - s)
9 * (cos(135) + i * sin(135)) / (7 * (cos(10) + i * sin(10))) =>
(9/7) * (cos(135 - 10) + i * sin(135 - 10)) =>
(9/7) * (cos(125) + i * sin(125))
The Quotients of the given expression is option B; (9/7) cos(125) + i sin(125)).
Quotients are the number that is obtained by dividing one number by another number.
We know that
cos(t) + i sin(t) = e^(i t)
Given;
9 (cos 135 + i sin 135)
---------------------------------
7(cos 10 + i sin 10)
Therefore,
(cos(t) + i sin(t)) / (cos(s) + i sin(s)) = cos(t - s) + i sin(t - s)
9 (cos(135) + i sin(135)) / (7 (cos(10) + i sin(10)))
(9/7) (cos(135 - 10) + i sin(135 - 10))
(9/7) cos(125) + i sin(125))
The correct answer is option B; (9/7) cos(125) + i sin(125)).
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