Trigonometry Final Exam Review Fall '24

Front

What is the Pythagorean identity in trigonometry?

Back

The Pythagorean identity states that for any angle \( \theta \), \( \sin^2(\theta) + \cos^2(\theta) = 1 \).

Tags

CCSS.HSF.TF.C.8

Front

Define sine, cosine, and tangent in terms of a right triangle.

Back

Sine (sin) is the ratio of the opposite side to the hypotenuse. Cosine (cos) is the ratio of the adjacent side to the hypotenuse. Tangent (tan) is the ratio of the opposite side to the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of \( \sin(90^\circ) \)?

Back

The value of \( \sin(90^\circ) \) is 1.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \cos(180^\circ) \)?

Back

The value of \( \cos(180^\circ) \) is -1.

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between sine and cosecant?

Back

Cosecant (csc) is the reciprocal of sine: \( \csc(\theta) = \frac{1}{\sin(\theta)} \).

Tags

CCSS.HSF.TF.A.4

Front

If \( \sin(\theta) = \frac{15}{17} \) and \( \cos(\theta) < 0 \), what is \( \tan(\theta) \)?

Back

\( \tan(\theta) = -\frac{15}{8} \).

Tags

CCSS.HSF.TF.C.8

Front

What is the value of \( \theta \) if \( \cos(\theta) = -1 \)?

Back

\( \theta = 180^\circ \) or \( \theta = \pi \) radians.

Tags

CCSS.HSF.TF.B.7

Front

On the unit circle, what is the angle corresponding to the point \( \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right) \)?

Back

The angle is \( \frac{5\pi}{6} \) radians.

Tags

CCSS.HSF.TF.A.2

Front

What is the cotangent of \( 480^\circ \)?

Back

The cotangent of \( 480^\circ \) is \( -\frac{\sqrt{3}}{3} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the formula for converting degrees to radians?

Back

To convert degrees to radians, use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \).

Tags

CCSS.HSF.TF.A.1