Sine, Cosine, and Tangent

Find the value of each variable.

 

sin\theta=\frac{opp}{hyp}

cos\theta=\frac{adj}{hyp}

tan\theta=\frac{opp}{adj}

 

 

sin36\degree =\frac{7}{x}

x(sin36\degree )=7

\frac{x(sin36\degree )}{sin36\degree }=\frac{7}{sin36\degree }

x=\frac{7}{sin36\degree }=\frac{7}{0.588}

x=11.9

 

tan36\degree =\frac{7}{y}

y(tan36\degree )=7

\frac{y(tan36\degree )}{tan36\degree }=\frac{7}{tan36\degree }

y=\frac{7}{tan36\degree }=\frac{7}{0.727}

y=9.63