Question

How do you find the 6 trigonometric functions for 90 degrees?

Answer 1

`sin(90^@)=1color(white)("XXXXXXXXX")csc(90^@)=1`
`cos(90^@)=0color(white)("XXXXXXXXX")sec(90^@) " is undefined"`
`tan(90^@) " is undefined"color(white)("XxXX")cot(90^@)=0`

Explanation:

Using a unit circle (so the hypotenuse `=1`) and its intersection with an angular arm in standard position:

the six basic trigonometric functions are defined as

`sin= ycolor(white)("XXXXXXXXX")csc=1/(sin) iff sin!=0`

`cos=xcolor(white)("XXXXXXXXX")sec =1/(cos) iff cos!=0`

`tan=y/x iff x!=0color(white)("XXX")cot=x/y iff y!=0`