WILL GIVE A BRAINLEST AND 15PTSWhich equations for the measures of the unknown angles x and y are correct? Check all that apply.x = cos–1(a/c)x = sin–1(c/b)x = tan–1(c/a)y = sin–1(a/c)y = cos–1(c/b)
Accepted Solution
A:
we know thatIn the right triangle of the figureFor the angle x[tex]cos(x)=\frac{a}{b}[/tex][tex]x=cos^{-1}(\frac{a}{b})[/tex][tex]sin(x)=\frac{c}{b}[/tex][tex]x=sin^{-1}(\frac{c}{b})[/tex][tex]tan(x)=\frac{c}{a}[/tex][tex]x=tan^{-1}(\frac{c}{a})[/tex]For the angle y[tex]cos(y)=\frac{c}{b}[/tex][tex]y=cos^{-1}(\frac{c}{b})[/tex][tex]sin(y)=\frac{a}{b}[/tex][tex]y=sin^{-1}(\frac{a}{b})[/tex][tex]tan(y)=\frac{a}{c}[/tex][tex]y=tan^{-1}(\frac{a}{c})[/tex]thereforethe answer is[tex]x=sin^{-1}(\frac{c}{b})[/tex][tex]x=tan^{-1}(\frac{c}{a})[/tex][tex]y=cos^{-1}(\frac{c}{b})[/tex]