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Trigonometry, SMB-023

Using Pythagoras and showing your working, express `tan 30^{@}` as a fraction.  (2 marks)

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`tan 30^{@} = 1/sqrt3`

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`text{Let}\ \ x =\ text{unknown side}`

`text{By Pythagoras:}`

`2^2` `=x^2 + 1^2`  
`x^2` `=4-1`  
`x` `=sqrt3\ \ (x>0)`  

 
`tan 30^{@} = text{opp}/text{adj} = 1/sqrt3`