Matt Lee at 23:01, 6 April 2015

2015-04-06T23:01:25Z

Matt Lee: Created page with "'''Question: ''' Compute $\cos(\arctan\frac{5}{3})$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) What is the third length..."

2015-03-29T19:15:25Z

Created page with "'''Question: ''' Compute <math>\cos(\arctan\frac{5}{3})</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) What is the third length..."

New page

'''Question: ''' Compute <math>\cos(\arctan\frac{5}{3})</math>

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
!Foundations
|-
|1) What is the third length of the triangle?
|-
|2) What does the triangle look like with the angle <math>/theta </math> corresponding to <math> \arctan(\frac{5}{3})</math> marked look like?
|Answer:
|-
|1) The third side length is <math> \sqrt{ 5^2 + 3^2} = \sqrt{34}</math>.
|-
|2) The triangle is a right triangle with side lengths 3, 5, and <math>\sqrt{34}</math> being the hypotenuse. <math> \theta </math> is the angle of the triangle with adjacent side of length 3.
|}
Solution:

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
|Draw the triangle associated to the angle <math>\arctan(\frac{5}{3}</math>. The triangle is a right triangle with side lengths 3, 5, and <math>\sqrt{34}</math> being the hypotenuse. The angle associated to <math> \arctan(\frac{5}{3}</math> is the angle adjacent to the side of length 3.
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer:
|-
|From the triangle <math>\cos(\arctan\frac{5}{3}) = \frac{3}{\sqrt{34}} = \frac{3\sqrt{34}}{34}</math>
|}

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	\|From the triangle <math>\cos(\arctan\frac{5}{3}) = \frac{3}{\sqrt{34}} = \frac{3\sqrt{34}}{34}</math>		\|From the triangle <math>\cos(\arctan\frac{5}{3}) = \frac{3}{\sqrt{34}} = \frac{3\sqrt{34}}{34}</math>
	\|}		\|}
		+
		+	[[8AF11Final\|<u>'''Return to Sample Exam</u>''']]

8A F11 Q18 - Revision history

Matt Lee at 23:01, 6 April 2015

Matt Lee: Created page with "'''Question: ''' Compute \cos(\arctan\frac{5}{3}) {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) What is the third length..."

Matt Lee: Created page with "'''Question: ''' Compute $\cos(\arctan\frac{5}{3})$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) What is the third length..."