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

1 Answer
bp
Aug 18, 2015

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

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