How do you evaluate the sine, cosine, and tangent of the angle $(11pi)/4$ without using a calculator?

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Answer 1 · 2015-06-30T15:19:40

Find 6 trig functions of $x = (11pi)/4$

$sin ((11pi)/4) = sin ((3pi)/4 + 2pi) = sin ((3pi)/4) = (sqrt2)/2$

$cos ((11pi)/4) = cos ((3pi)/4) = - (sqrt2)/2$

$tan ((11pi)/4) = - 1$

$cot ((11pi)/4) = - 1$

$sec ((11pi)/4) = - sqrt2$

$csc ((11pi)/4) = sqrt2$

How do you evaluate the sine, cosine, and tangent of the angle (11pi)/4(11pi)/4 without using a calculator?