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Trigonometry

Right Triangle Trigonometry

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Definition II: Right Triangle Trigonometry

**Mini Lecture**

\(\Delta ABC\) is a right triangle with \(C=90^{\circ}\). Find the six trigonometric functions of \(A\) if \(a=2\) and \(b=\sqrt{5}\).

Find \(\sin A\), \(\cos A\), \(\tan A\), \(\sin B\), \(\cos B\), and \(\tan B\)

\(\sin x=\cos{\underline{\qquad}}\)

\(\left(\sin60^{\circ} +\cos60^{\circ}\right)^2\)

\(\sec30^{\circ}\)

\(\cot45^{\circ}\)

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Calculators and Trigonometric Functions of an Acute Angle

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Solving Right Triangles

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Applications

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Vectors: A Geometric Approach

A boat is crossing a river that runs due north. The boat is pointed due east and is moving through the water at 12">10.0 miles per hour. If the current of the river is a constant 5.1">2.0 miles per hour, find the actual course of the boat through the water to two significant digits.

A boat is crossing a river that runs due north. The boat is pointed due east and is moving through the water at \(12\) miles per hour. If the current of the river is a constant \(5.1\) miles per hour, find the actual course of the boat through the water to two significant digits.