Use the quadratic formula to find all degree solutions and 0 if 0° s 0 < 360°. Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)2 cos e 2 cos 0 - 1 = 0(a) all degree solutions (Let k be any integer.)(b)0° 0360°

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Asked Oct 31, 2019
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Use the quadratic formula to find all degree solutions and 0 if 0° s 0 < 360°. Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
2 cos e 2 cos 0 - 1 = 0
(a) all degree solutions (Let k be any integer.)
(b)
0° 0
360°
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Use the quadratic formula to find all degree solutions and 0 if 0° s 0 < 360°. Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2 cos e 2 cos 0 - 1 = 0 (a) all degree solutions (Let k be any integer.) (b) 0° 0 360°

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Expert Answer

Step 1

First we solve for cos theta using quadratic formula. 

cos theta is between -1 to 1.

So cos theta = (1+sqrt(3))/2= 1.366 is not possible 

cos theta = (1-sqrt(3))/2= -0.366

2 cos20-2cos0-1=0
-(-2)t-2)-4(2)(-1)
cosa
2(2)
2+4+8
cosO
4
2+ 12
cos=
4
2(1+3
2+23
cose
4
4
1t3
cos
2
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2 cos20-2cos0-1=0 -(-2)t-2)-4(2)(-1) cosa 2(2) 2+4+8 cosO 4 2+ 12 cos= 4 2(1+3 2+23 cose 4 4 1t3 cos 2

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Step 2

Then we find theta using cos inverse.

Answ...

1-3
coso
2
1-3
O=coS
2
0=111.5+360k and 248.5+360k
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1-3 coso 2 1-3 O=coS 2 0=111.5+360k and 248.5+360k

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