Trigonometric Functions

What are the 3 basic trig functions?

• Sine, cosine, and cotangent

• Sine, cotangent, and cosecant

• Sine, cosine, and tangent

• Cosecant, cosine, and cotangent

How do sine, cosine, and tangent tell us about an angle?

• They describe the angle measure in terms of the ratio of its corresponding sides

• They tell us its measure in relationship to the other angles in the triangle

• We can only use them if we know all side lengths

• They describe the angle measure in terms of the product of its corresponding sides

What type of circle plays a large role in understanding trig functions?

• An elliptic circle

• The unit circle

• The perfect circle

• The Pythagorean circle

If I wanted to find the sine of an angle, what side lengths would I need to know?

• base, hypotenuse

• hypotenuse, adjacent

• opposite, hypotenuse

• adjacent, opposite

The cosine of an angle can be calculated by which expression?

• $\frac{hypotenuse}{adjacent}$

• $\frac{opposite}{adjacent}$

• $\frac{adjacent}{hypotenuse}$

• $\frac{adjacent}{opposite}$

What is the reciprocal of the sine function?

• cosecant

• cosine

• secant

• cotangent

Tags

CCSS.HSF.TF.B.6

CCSS.HSF.TF.B.7

 $\tan\left(\theta\right)$  of an angle,  $\theta$ can be expressed as which of the following?

•  $\frac{opposite}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$  

•  $\frac{hypotenuse}{adjacent}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the sine of angle A?

• $\frac{45}{30}$
  

• $\frac{10\sqrt{7}}{30}$

• $\frac{30}{10\sqrt{7}}$

• $\frac{30}{45}$

True or False? Using the unit circle, the process for determining the sine/cosine of any angle is as follows:

Step one: Starting from (1,0) (1,0) move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to your angle. Step two:The sine of your angle is equal to the y-coordinate of your point, and cosine is equal to the x-coordinate.

• True

• False

What is the tangent of angle A?

• .75

• 
  

  $\frac{4}{3}$
  

• .8

• $\frac{5}{4}$