Respuesta :

cdw2014
The angle sum identity for cosine is:

[tex]cos( \theta+ \beta) = cos( \theta)cos( \beta) - sin( \theta)sin( \beta)[/tex]

So we need to figure out the values of \theta and \beta.

[tex]tan^{-1}( \frac{1}{2}) = \theta [/tex]

[tex]cos^{-1}( \frac{2}{3} ) = \beta[/tex]

[tex]cos(tan^{-1}( \frac{1}{2}))cos(cos^{-1}(\frac{2}{3})) - sin(tan^{-1}( \frac{1}{2}))sin(cos^{-1}(\frac{2}{3})) = [/tex] 0.26295 rad




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