Sec. 4.4

Front

Name the quadrant in which the angle \(\theta\) lies if \(\sin\theta < 0\) and \(\cos\theta > 0\).

Back

Quadrant IV.

Front

Find \(\cos(\theta)\) given that the terminal side of \(\theta\) contains the point \((-9, 6)\).

Back

\(\cos(\theta) = -\frac{3\sqrt{13}}{13}\)

Front

Name the quadrant in which \(\angle A\) lies if \(\cos A > 0\) and \(\sin A < 0\).

Back

Quadrant IV.

Front

Find \(\sec(\theta)\) given that the terminal side of \(\theta\) contains the point \((\sqrt{5}, 2)\).

Back

\(\sec(\theta) = \frac{3\sqrt{5}}{5}\)

Front

Name the quadrant in which \(\angle A\) lies if \(\tan A < 0\) and \(\cos A < 0\).

Back

Quadrant II.

Front

Define the sine function in terms of a right triangle.

Back

In a right triangle, \(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\).

Front

Define the cosine function in terms of a right triangle.

Back

In a right triangle, \(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\).

Front

Define the tangent function in terms of sine and cosine.

Back

\(\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\).

Front

What is the relationship between the sine and cosine of complementary angles?

Back

\(\sin(90^\circ - \theta) = \cos(\theta)\).

Front

What is the Pythagorean identity involving sine and cosine?

Back

\(\sin^2(\theta) + \cos^2(\theta) = 1\).