Trigonometry angles

Trigonometry

You need your notebook, calculator and Ipad

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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.

Slide 6 - Quiz

Slide 7 - Slide

Name the hypotenuse

Slide 8 - Quiz

Slide 9 - Slide

Name the adjacent side.

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) = \frac{​ o p p o s i t e ​ ​}{​ h y p o t e n u s e ​}

cos (θ) = \frac{​ a d j a c e n t ​ ​}{​ h y p o t e n u s e ​}

tan (θ) = \frac{​ o p p o s i t e ​ ​}{​ a d j a c e n t ​}

Slide 16 - Slide

tan (∠ B) = . . .

\frac{​ 8 ​ ​}{​ 1 7 ​}

\frac{​ 8 ​ ​}{​ 1 5 ​}

\frac{​ 1 5 ​ ​}{​ 1 7 ​}

\frac{​ 1 5 ​ ​}{​ 8 ​}

Slide 17 - Quiz

Slide 18 - Slide

sin (∠ B) = . . .

\frac{​ 1 1 ​ ​}{​ 6 1 ​}

\frac{​ 1 1 ​ ​}{​ 6 0 ​}

\frac{​ 6 0 ​ ​}{​ 6 1 ​}

\frac{​ 6 0 ​ ​}{​ 1 1 ​}

Slide 19 - Quiz

Slide 20 - Slide

Calculating angles

Slide 21 - Slide

Calculating angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

Slide 22 - Slide

Calculating angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

Slide 23 - Slide

Calculating angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

Slide 24 - Slide

Calculating angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

Slide 25 - Slide

Calculating angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

∠ B \approx 61.92

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

Trigonometry angles

Items in this lesson

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Slide 2 - Slide

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Slide 6 - Quiz

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Slide 8 - Quiz

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Slide 19 - Quiz

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Slide 27 - Open question

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Slide 29 - Slide

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