Question

Is there a possibility to compute for the six trigonometric functions of non-special angles without using calculator, or mentally?

Answer 1

You can do series expansions of each trig function but it is a long process

Answer 2

can you just show me one sample?

Answer 3

sin(x) = x^2/2! +x^4/4! - X6/6! + x^8/8! ...... unitl you have a great estimate of what the answer is.
cos is just a shift of 1 so
cos(x) = 1 - x^2/2! +x^4/4! - X6/6! + x^8/8! ...
this is the taylor series expansion

Answer 4

the sin x expansion is incorrect
sin x is odd function, consisting of odd powers of x

Answer 5

your right I was thinking wrong in my head.