Question

What are the six trig values of -5/13?

Answer 1

If `-5/13` is meant to be the angle (in radians) then use of a calculator or similar technology is the only way to reasonably evaluate:

`sin(-5/13)=-0.3752color(white)("XXxX")csc(-5/13)=-2.66523`
`cos(-5/13)=0.926943color(white)("XXxX")sec(-5/13)=1.078815`
`tan(-5/13)=-0.40477color(white)("XXX")cot(-5/13)=-2.47051`

If `(-5/13)` is meant to be the ratio of two sides of the associated triangle (e.g. if what is intended is something like `sin(theta)=(-5)/13`)
then we need to be told which sides are being indicated.