What are the six trig function values of $\frac{13 π}{4}$ $(13pi)/4$ ?

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What are the six trig function values of $\frac{13 π}{4}$ $(13pi)/4$ ?

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Answer 1 · 2015-12-13T18:28:31

Find 6 trig function values of (13pi)/4

Explanation:

Call (13pi/4) = x
$sin x = \frac{sin (13 π)}{4} = sin (\frac{5 π}{4} + 2 π) = sin (\frac{π}{4} + π) =$ $sin x = sin (13pi)/4 = sin ((5pi)/4 + 2pi) = sin (pi/4 + pi) =$
$= - sin (\frac{π}{4}) = - \frac{\sqrt{2}}{2}$ $= -sin (pi/4) = -sqrt2/2$
$cos x = (\frac{π}{4} + π) = - cos (\frac{π}{4}) = - \frac{\sqrt{2}}{2}$ $cos x = (pi/4 + pi) = - cos (pi/4) = - sqrt2/2$
$tan x = \frac{sin x}{cos x} = 1$ $tan x = sin x/(cos x) = 1$
cot x = 1
$sec x = - \frac{2}{\sqrt{2}} = - \sqrt{2}$ $sec x = -2/sqrt2 = -sqrt2$
$csc x = - \frac{2}{\sqrt{2}} = - \sqrt{2}$ $csc x = -2/sqrt2 = -sqrt2$

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What are the six trig function values of $\frac{13 π}{4}$ $(13pi)/4$ ?

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What are the six trig function values of $\frac{13 π}{4}$ $(13pi)/4$ ?