Respuesta :

Given

we are given an angle of 285 degrees.

Required

we need find sin, cos and tan of 285 degrees

Explanation

Here we know that

[tex]sin(360-x)=-sinx[/tex]

so

[tex]\begin{gathered} sin(285)=sin(360-75)=-sin(75) \\ =-\frac{\sqrt{6}+\sqrt{2}}{2}=-0.97 \end{gathered}[/tex]

Again

[tex]cos(360-x)=cosx[/tex]

so

[tex]\begin{gathered} cos(285)=cos(360-75)=cos(75) \\ =0.25 \end{gathered}[/tex]

and finally

[tex]tan(360-x)=-tanx[/tex]

so

[tex]\begin{gathered} tan(285)=tan(360-75)=-tan75 \\ =3.73 \end{gathered}[/tex]

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