Question

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

Answer 1

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

Explanation:

`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`