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1.     Use special right triangles to state the value of the 6 trig functions for 30 degrees, 45 degrees and 60 degrees

 Mar 24, 2019
 #1
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Look under this online page:  https://en.wikipedia.org/wiki/List_of_trigonometric_identities

Look under "Conversions of Common Angles"

 Mar 24, 2019
 #2
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As you know, they are both right angled triangles.

 

For 45 degree ratios use a right angles isosceles triangle where the 2 equal sides are both 1 unit.

  Find the hypotenuse using pythagoras's theorem and then read off the ratio values from it.

 

 For both 60degrees and 30degrees.

Start with a equilateral triangle with side length 2 units.

Then cut it in half to get two congruent  triangles, you will only use one of them.

  it has a right angle, a 30degree angle and a 60 degree angle,

  the hypotenuse is 2 units and one side is 1 unit.

   Use pyth to find the 3rd side and that is it.

 

 Mar 24, 2019

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