Solve the equation for all degree solutions and if 0° < 0 < 360°. Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter No SOLUTION.)3)(2 cos 0(2 cos 01)oV(a) all degree solutions (Let k be any integer.)Ө —(b)0° S 0< 360°

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Asked Oct 31, 2019
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Solve the equation for all degree solutions and if 0° < 0 < 360°. Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter No SOLUTION.)
3)(2 cos 0
(2 cos 0
1)
o
V
(a) all degree solutions (Let k be any integer.)
Ө —
(b)
0° S 0< 360°
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Solve the equation for all degree solutions and if 0° < 0 < 360°. Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter No SOLUTION.) 3)(2 cos 0 (2 cos 0 1) o V (a) all degree solutions (Let k be any integer.) Ө — (b) 0° S 0< 360°

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Expert Answer

Step 1

(a)

Given:

The given equation is (2 cos0 + 3)(2 cos0 +1) = 0
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The given equation is (2 cos0 + 3)(2 cos0 +1) = 0

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Step 2

 

Find the value of the e...

(2 cos0+3 (2 cose +1) = 0
2 cose3
0 or (2cos0+1)0
/3
cos e
or cos e
2
2
General solution for cose
is 0 1500 360°k and 0 = 210° +360°k
2
1
is 0 120° 360°k and 0 = 240°360°k
2
General solution for cos
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(2 cos0+3 (2 cose +1) = 0 2 cose3 0 or (2cos0+1)0 /3 cos e or cos e 2 2 General solution for cose is 0 1500 360°k and 0 = 210° +360°k 2 1 is 0 120° 360°k and 0 = 240°360°k 2 General solution for cos

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Trigonometry