Trigonometry

Mixed Trigonometry practice

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Objective:SWBAT calculate missing side lentghs and angles using trigonometry functions.

https://www.youtube.com/watch?v=qqo9pcln9Jc

How to Identify the Hypotenuse: cómo identificar una hipotenusa

The Hypotenuse is found directly across from the right angle, and is always the longest side.La hipotenusa se encuentra directamente frente al ángulo recto y siempre es el lado más largo.

Multiple Choice

Which letter represents the Hypotenuse in this image?

• a

• b

• c

Opposite v. Adjacent

the Opposite side is directly across from the given angle.

The Adjacent side is "next to" the given angle.

Multiple Choice

In this right Triangle x represents the .......

• Hypotenuse

• Opposite

• Adjacent

Multiple Choice

In triangle ABC, where angle c is given, what is the length of the "Adjacent" side?

• 3

• 4

• 5

Poll

How do you feel about your ability to identify the Hypotenuse, Opposite side, and Adjacent side of a triangle?

SohCahToa

• Sin =  $\frac{Opposite}{Hpotenuse}$  

• Cosine= $\frac{Adjacent}{Hypotenuse}$  

• Tangent= $\frac{Opposite}{Adjacent}$  

Multiple Choice

Given the right triangle, which of the following represents the value of sin(c)?

• $$\frac{24}{25}$$

• $$\frac{7}{24}$$

• $$\frac{7}{25}$$

Multiple Choice

Given the right triangle, which of the following represents the value of Tangent (C)?

• $$\frac{24}{25}$$

• $$\frac{7}{25}$$

• $$\frac{24}{7}$$

Multiple Choice

Given the right triangle, which of the following represents the value of Cosine (c)?

• $$\frac{24}{25}$$

• $$\frac{7}{25}$$

• $$\frac{24}{7}$$

what if it doesn't tell me which trig function to use?

Sometimes they won't tell you which function (sin, cosine, or tangent) to use. You have to identify what information you have in order to determine which function to use.

Multiple Select

In this triangle, you are given the Hypotenuse and the Adjacent sides. Which trig function would you use?

• Cosine

• Sin

• Tangent

Multiple Select

In this triangle you are given the Opposite and Adjacent sides. Which trig function would you use?

• Cosine

• Sin

• Tangent

Multiple Select

In the following triangle you are given the Opposite side and the Hypotenuse which trig function would you use?

• Sin

• Consine

• Tangent

Multiple Choice

Choose the correct set up to find the length of the side x.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x

Multiple Choice

Find the length of side w.

• 21.4 cm
• 18.0 cm
• 36.5 cm
• 43.6 cm

Multiple Choice

                                                                                                                               
                                          Solve for DE

• 36.5
• 18.8
• 8.5
• 7.9

How to solve for a missing angle using Trigonometry

(inverse trigonometry)

Another Example

We notice that we are given the lengths of our opposite and adjacent sides (in relation to Angle A) This tells use we must use "Tangent"

Multiple Choice

What is the correct set up for the problem to find the measure of the indicated angle?

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

Multiple Choice

Find m∠N

• 14.0

• 75.5

• 76.0

• 14.5

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4

• 55.2

• 20.15

• 19.4

Open Ended

Does anyone have any questions or comments about Today's lesson?