How to solve
The 30-60-90 and 45-45-90 triangles give every special value: memorize the first quadrant and the boundary angles.
Steps
- 45-45-90 sides 1 : 1 : √2 give the 45° values.
- 30-60-90 sides 1 : √3 : 2 give the 30° and 60° values.
- tan = sin/cos; rationalize denominators.
Example
Exact value of tan(60°)?
- sin 60° = √3/2 and cos 60° = 1/2.
- tan 60° = (√3/2)/(1/2) = √3.
Answer: sqrt(3)
How to type answers
- Use sqrt(n) for radicals, like sqrt(3)/2
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