[tex] \tan( \alpha ) = 0.7 = \frac{7}{10} [/tex]
[tex] {7}^{2} + {10}^{2} = {c}^{2} [/tex]
[tex]49 + 100 = {c}^{2} [/tex]
[tex]c = \sqrt{149} [/tex]
[tex] \sin( \alpha ) = \frac{7}{ \sqrt{149} } = \frac{7 \sqrt{149} }{149} [/tex]
[tex] \cos( \alpha ) = \frac{10}{ \sqrt149} = \frac{10 \sqrt{149} }{149} [/tex]