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
You need your notebook, calculator and Ipad

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.

Slide 2 - Slide

Trigonometry

Slide 3 - Slide

Trigonometry
Adjacent side:

Opposite side:

Hypothenuse:

Slide 4 - Slide

Trigonometry
Adjacent side: QR

Opposite side: QS

Hypothenuse: RS

Slide 5 - Slide

Name the opposite side.
A
KL
B
KM
C
ML

Slide 6 - Quiz

Slide 7 - Slide

Name the hypotenuse
A
KL
B
KM
C
ML

Slide 8 - Quiz

Slide 9 - Slide

Name the adjacent side.
A
RS
B
RT
C
ST

Slide 10 - Quiz

Slide 11 - Slide

Trigonometry

Slide 12 - Slide

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
cos(θ)=hypotenuseadjacent
tan(θ)=adjacentopposite

Slide 16 - Slide


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

Slide 17 - Quiz

Slide 18 - Slide


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

Slide 19 - Quiz

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

Slide 26 - Slide

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
  • Communicate in English please

Slide 29 - Slide