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AutumnJoy12
05.05.2020 •
Mathematics
Which angle is a solution of:
2 sin 2x - 1 = 0
Select the appropriate response:
A) 180°
B) 120°
C) 225°
50 POINTS
Solved
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Ответ:
Answer and Step-by-step explanation:
Let's solve this like a regular equation:
2sin(2x) - 1 = 0
2sin(2x) = 1
sin(2x) = 1/2
Replace 2x with y:
sin(y) = 1/2
What angles for y will make this true? Think to the unit circle; the possible angles are 30° and 150°.
Then, x = 30/2 = 15°or 150/2 = 75°.
(Note that none of the answer choices matches, so the problem/choices may be copied incorrectly)
Ответ:
C) 225°
Step-by-step explanation:
2sin²x = 1
sin²x = ½
sinx = +/- 1/sqrt(2)
Basic angle: 45°
In one complete cycle,
45, 180-45, 180+45, 360-45
45°, 135°, 225°, 315°
Ответ:
Step-by-step explanation:
Answer is attached....of both the parts.
Hope it helps:)