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## Trigonometric functions

If we have a right triangle with one angle \(\theta\)

$$sine\: \theta =\frac{a}{c}$$

$$cosine \:\theta =\frac{b}{c}$$

$$tangent \:\theta =\frac{a}{b}$$

$$cosecant \:\theta =\frac{c}{a}$$

$$secant \:\theta =\frac{c}{b}$$

$$cotangent \:\theta =\frac{b}{a}$$

Using the formulas above we get that:

$$sine\; 45^{\circ}=\frac{a}{2}$$

$$cosine\; 45^{\circ}=\frac{b}{2}$$

We use our calculators to determine sine \(45^{\circ}\) and cosine \(45^{\circ}\) :

Now we can see that the measures of \(a\) and \(b\) are equal and that the length is

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Kuta Software - Infinite Algebra 2. Right Triangle Trig. - Evaluating Trig. Ratios. Find the value of the trig function indicated.

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