Solve 2sin2A = 1 for 0º≤A≤270º

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ameliaacx ameliaacx

08-08-2017
Mathematics

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Solve 2sin2A = 1 for 0º≤A≤270º

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Yna9141 Yna9141 · Answer 1 · 2017-08-19T14:11:22+02:00

We extract the equation from the given,
2sin2A = 1
To answer, we first have to divide the trigonometric equation by 2.
(2sin2A)/2 = 1/2
We are left with,
sin2A = (1/2)
For us to obtain the value of 2A, we use the trigonometric function of arcsin.
sin⁻(1/2) = 2A
The value of 2A is equal to 30°.

From this, we calculate for the value of A and that is,
2A = 30
A = 15

ANSWER: A = 15°