Had to do a bit of guesswork to figure out what you're asking here. If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.
The sine of pi/4 is 1 / sqrt(2); the cosine is the same.
The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.
If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.
