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Asked Oct 8, 2019

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TRIGONOMETRIC IDENTITIES AND EQUATIONS
Max
Half-angle identities: Problem type 1
Español
5л
Use a half-angle formula to find the exact value of cos
8
5п
COS
?
Aa
ш
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TRIGONOMETRIC IDENTITIES AND EQUATIONS Max Half-angle identities: Problem type 1 Español 5л Use a half-angle formula to find the exact value of cos 8 5п COS ? Aa ш

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check_circleExpert Solution
Step 1

We know that,

1+cos(2x
cos(x)
2
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1+cos(2x cos(x) 2

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Step 2

Given,

'5л
cos
8
5п'
1+cos 2x
8
(using the above formula)
2
'5л
+cos
2
1+cos(+
2
1-cos
4
(cos(JT0) cos(e)
2
1-()
CC
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'5л cos 8 5п' 1+cos 2x 8 (using the above formula) 2 '5л +cos 2 1+cos(+ 2 1-cos 4 (cos(JT0) cos(e) 2 1-() CC

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Step 3

Further calcu...

2
V-1
2/2
V2-1
2 2
2-2
4
2-v2
2
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2 V-1 2/2 V2-1 2 2 2-2 4 2-v2 2

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