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Values of Trigonometric Functions

Principal values of the trigonometric functions between 0 ° and 90 ° are:

  sine cosine tangent
0 ° 0 1 0
30 °
\[\frac{1}{2}\]
\[\frac{\sqrt{3}}{2}\]
\[\frac{1}{\sqrt{3}}\]
45 °
\[\frac{1}{\sqrt{2}}\]
\[\frac{1}{\sqrt{2}}\]
1
60 °
\[\frac{\sqrt{3}}{2}\]
\[\frac{1}{2}\]
\[\sqrt{3}\]
90 ° 1 0 Not Defined

Suppose we want to find the exact value of 12cos30°-2tan60°. We consult the table.

\[12cos30°-2tan60°=12 \times \frac{\sqrt{3}}{2} - 2 \times \sqrt{3} = 6 \sqrt{3}-2 \sqrt{3}=4 \sqrt{3}\]

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