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Mathematics
Jasmine Cowan
2 May, 23:15
The exact value of cos 13pi/8 is
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Alexzander Key
3 May, 01:15
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sqt root 2-sqt root 2/4
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Sammy Lee
3 May, 01:37
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answer is : Cos (13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos (3pi/2 + pi/8)
applying formula cos (A+B) = cos A cosB - sinAsinB
i. e Cos (3pi/2 + pi/8) = cos (3pi/2) cos (pi/8) - sin (3pi/2) sin (pi/8)
∵ Remember cos (3pi/2) = 0, sin (3pi/2) = - 1
Cos (3pi/2 + pi/8) = 0 cos (pi/8) - (-1) sin (pi/8)
Cos (3pi/2 + pi/8) = 0 + 0.3826
Cos (3pi/2 + pi/8) = 0.3826
Hence we got Cos (13pi/8) = 0.3826
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