Question

How do you find the 6 trigonometric functions for x =3π/4?

Answer 1

sin `((3pi)/4)`= `1/sqrt2`
cos`((3pi)/4)`= `- 1/sqrt2`. Rest can be worked out using these values.

Explanation:

To begin with, `(3pi)/4equals (pi- pi/4)`. Hence,

sin `((3pi)/4)= sin (pi-pi/4)= sin((pi)/4)= 1/sqrt2`. Like wise,

cos`((3pi)/4)= cos(pi-pi/4)= - cos(pi/4)= -1/sqrt2`.

Other trignometric functions can now be easily worked out, `tan((3pi)/4)= -1, cot((3pi)/4)=-1, sec((3pi)/4)=-sqrt2, csc((3pi)/4)= sqrt2`