Trigonometry Test

Front

What is the formula for secant in terms of cosine?

Back

Secant is defined as the reciprocal of cosine: \( \sec x = \frac{1}{\cos x} \).

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( \sin 30^{\circ} \)?

Back

The value of \( \sin 30^{\circ} \) is \( \frac{1}{2} \).

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of \( \cos 60^{\circ} \)?

Back

The value of \( \cos 60^{\circ} \) is \( \frac{1}{2} \).

Tags

CCSS.HSG.SRT.C.7

Front

What are the three main trigonometric ratios?

Back

The three main trigonometric ratios are sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6

Front

How do you simplify \( \sec 2x (1 - \sin 2x) \)?

Back

The expression simplifies to 1.

Front

What is the relationship between sine and cosine in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.7

Front

What is the tangent ratio in terms of sine and cosine?

Back

The tangent ratio is defined as \( \tan \theta = \frac{\sin \theta}{\cos \theta} \).

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that \( \sin^2 x + \cos^2 x = 1 \).

Tags

CCSS.HSF.TF.C.8

Front

How do you calculate the sine of an angle using a unit circle?

Back

In the unit circle, the sine of an angle is the y-coordinate of the point where the terminal side of the angle intersects the circle.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of \( 5\sin 30^{\circ} - 3\cos 60^{\circ} \)?

Back

The value is 1.

Tags

CCSS.HSF.TF.C.8