Find all solutions of the equation. 2 cos x + sqrt(2) =0

anudoneddbv

anudoneddbv

Answered question

2022-07-27

Find all solutions of the equation.
2 cos x + 2 = 0

Answer & Explanation

kitskjeja

kitskjeja

Beginner2022-07-28Added 13 answers

start by isolating cos x
2 cos x = 2
cos x = 2 / 2
so x is the angle whose cos is 2 divided by 2 take the arccos of 2 / 2 , or if you haven't gottento that, just refer to the unit circle. csine is negative in the IIand III quadrants and is = to 2 / 2 at everyother 45 increment .
you get 135 ( 3 π / 4 r a d i a n s ) and 225 ( 5 π / 4 ).

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