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Trigonometry, SMB-031

  1. Express the ratio of `tan theta`  as a fraction.  (2 marks)

  2. Hence or otherwise, find the value of `theta`, correct to two decimal places.  (1 mark)

Show Answers Only
  1. `tan theta=15/8`
  2. `61.93^@`
Show Worked Solution

i.    `text{By Pythagoras,}`

`x^2+8^2` `=17^2`  
`x^2` `=289-64`  
  `=225`  
`x` `=15`  

 
`:.tan theta = 15/8`

 

ii.   `theta` `=tan^{-1}(15/8)`  
  `=61.927…^@`  
  `=61.93^@\ text{(to 2 d.p.)}`