Question

Question #8537b

Answer 1

-0.75

Explanation:

By considering the trigonometric identity,

`sin^2(x)+cos^2(x)=1`
`0.6^2+cos^2(x)=1`
`cos(x)=+-0.8`

By considering the CAST rule, because `90< x < 180`, `x` is in quadrant II, therefore `cos(x)` is negative, i.e. `cos(x)=-0.8`

By considering the CAST rule, `tan(pi-x)=sin(pi-x)/cos(pi-x)=sin(x)/-cos(x)=-tan(x)`

Therefore `tan(pi-x)=sin(x)/-cos(x)=0.6/-0.8=-0.75`