# Trigonometry angles

Trigonometry
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 29 slides, with interactive quizzes and text slides.

## Items in this lesson

Trigonometry

#### Slide 1 -Slide

Goals
• I can fiend the adjacent, opposite and the hypothenuse in a triangle
• I can to use trigonometry to find unknown sides and unknown angles in a triangle.

Trigonometry

Trigonometry

Opposite side:

Hypothenuse:

#### Slide 4 -Slide

Trigonometry

Opposite side: QS

Hypothenuse: RS

#### Slide 5 -Slide

Name the opposite side.
A
KL
B
KM
C
ML

#### Slide 7 -Slide

Name the hypotenuse
A
KL
B
KM
C
ML

A
RS
B
RT
C
ST

Trigonometry

Trigonometry
sin = sinus
cos =  cosinus
tan = tangens

#### Slide 13 -Slide

Trigonometry
sin = sine, pronounced sign
cos =  cosine, pronounced co-sign
tan = tangent, pronounced tan-gent

#### Slide 14 -Slide

Trigonometry

• Greek letter
• Represents an unknown angle
θ

#### Slide 15 -Slide

Trigonometry
SOH, CAH, TOA

sin(θ)=hypotenuseopposite

tan(B)=...
A
178
B
158
C
1715
D
815

sin(B)=...
A
6111
B
6011
C
6160
D
1160

#### Slide 20 -Slide

Calculating angles

#### Slide 21 -Slide

Calculating angles
tan(B)=ao

#### Slide 22 -Slide

Calculating angles
tan(B)=ao
tan(B)=815

#### Slide 23 -Slide

Calculating angles
tan(B)=ao
tan(B)=815
tan(B)=1.875

#### Slide 24 -Slide

Calculating angles
tan(B)=ao
tan(B)=815
tan(B)=1.875
B=tan1(1.875)

#### Slide 25 -Slide

Calculating angles
tan(B)=ao
tan(B)=815
tan(B)=1.875
B=tan1(1.875)
B61.92

Calculate ∠B

#### Slide 27 -Open question

Calculate ∠B, round to two decimal places

#### Slide 28 -Slide

Exercises
• 11.1 Pythagoras (homework)
• 11.2 Soh Cah Toa
• Until 11:20
• Raise your finger if you have any questions or you're done