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Advanced Trigonometry, 2ADV T1 2013 HSC 2v3 MC

The diagram shows the line \(\ell\).
 

 What is the slope of the line \(\ell\) ? 

  1. \(\dfrac{1}{\sqrt2}\)
  2. \(-\dfrac{1}{\sqrt2}\)
  3. \(1\)
  4. \(-1\)
Show Answers Only

\(C\)

Show Worked Solution

\(\text{Gradient is positive (slopes from bottom left to top right).}\)

\(\tan\,45^{\circ} = 1\)

\(\therefore\ \text{Gradient is 1}\)

\(\Rightarrow C\)

Filed Under: Exact Values, Equations and Trig Graphs Tagged With: Band 4, num-title-ct-pathd, smc-5610-80-Gradients

Advanced Trigonometry, 2ADV T1 2013 HSC 2v2 MC

The diagram shows the line \(\ell\).
 

 What is the slope of the line \(\ell\) ? 

  1. \(\sqrt3\)
  2. \(-\sqrt3\)
  3. \(\dfrac{1}{\sqrt3}\)
  4. \(-\dfrac{1}{\sqrt3}\)
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Gradient is negative (slopes from top left to bottom right).}\)

\(\text{The line cuts the \(x\)-axis at an acute angle =}\ 90-60=30^{\circ}\) 

\(\tan\,30^{\circ} = \dfrac{1}{\sqrt3}\)

\(\therefore\ \text{Gradient is}\ -\dfrac{1}{\sqrt3}\)

\(\Rightarrow D\)

Filed Under: Exact Values, Equations and Trig Graphs Tagged With: Band 4, num-title-ct-pathd, smc-5610-80-Gradients

Advanced Trigonometry, 2ADV T1 2013 HSC 2 MC

The diagram shows the line  `l`.

2013 2 mc

 What is the slope of the line  `l`? 

  1. `sqrt3`  
  2. `- sqrt3`  
  3. `1/sqrt3`  
  4. `- 1/sqrt3`  
Show Answers Only

`B`

Show Worked Solution

`text(Gradient is negative)`

`text{(slopes from top left to bottom right)}`

`tan60^@ = sqrt3`

`:.\ text(Gradient is)\ -sqrt3`

`=>  B`

Filed Under: Exact Values, Equations and Trig Graphs Tagged With: Band 4, num-title-ct-pathd, num-title-qs-hsc, smc-5610-80-Gradients

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