Cos 45° tan 60° + sin 60° sec 30°=.
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[tex] \tt\cos( {45}^{o} ) \tan( {60}^{o} ) + \sin( {60}^{o} ) \sec( {30}^{o} ) [/tex]
[tex] \tt= \tt \frac{ \sqrt{2} }{2} \times \sqrt{3} + \sin( {90}^{o} - {30}^{o} )\times \frac{1}{ \cos( {30}^{o} ) } [/tex]
[tex] \tt = \frac{ \sqrt{6} }{2} + \cos( {30}^{o} ) \times \frac{1}{ \cos( {30}^{o} ) } [/tex]
[tex] = \tt \frac{ \sqrt{6} }{2} + 1[/tex]
[tex] = \tt \frac{ \sqrt{6} \: + \: 2 }{2} [/tex]
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