3.2 the sine and cosine ratios -...

3
sin A = cos A = Warm-up: Draw and label a right triangle to show the tangent ratio. Then, determine the measure of the angle, to the nearest degree. 1. tan D = 1 /3 1. Determine the measurement of the indicated side. Express your answer to the nearest tenth of a centimetre. 2. 3. 1. Calculate theta to the nearest degree. 3.2 Sine and Cosine Ratios 3.2 The Sine and Cosine Ratios Ch 3 Trigonometry Page 1

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Page 1: 3.2 The Sine and Cosine Ratios - Weeblycolafson.weebly.com/.../3.2_the_sine_and_cosine_ratios.pdf · 2018. 9. 6. · 3.2 Sine and Cosine Ratios 3.2 The Sine and Cosine Ratios Ch 3

sin A =

cos A =

Warm-up:

Draw and label a right triangle to show the tangent ratio. Then, determine the measure of

the angle, to the nearest degree.

1.

tan D = 1/3

1. Determine the measurement of the indicated side. Express your answer to the nearest tenth

of a centimetre.

2.

3.

1. Calculate theta to the nearest degree.

3.2 Sine and Cosine Ratios

3.2 The Sine and Cosine Ratios

Ch 3 Trigonometry Page 1

Page 2: 3.2 The Sine and Cosine Ratios - Weeblycolafson.weebly.com/.../3.2_the_sine_and_cosine_ratios.pdf · 2018. 9. 6. · 3.2 Sine and Cosine Ratios 3.2 The Sine and Cosine Ratios Ch 3

SOH CAH TOA

Write each trigonometric ratio1.

sin Aa)

sin Bb)

cos Ac)

cos Bd)

Evaluate each trig ratio to four decimal places2.

sin 60º b) sin 30º c) cos 45º3.

What is the measure of each angle, to the nearest degree?3.

sin β = 0.4384 b) cos θ = 0.2079a)

Find the missing angles.4.

Find angle G and H. a)

A guy wire supporting a cell tower is 24 m long. If the wire is

attached at a height of 17 m up the tower, determine the angle

that the guy wire forms with the ground.

1.

Ch 3 Trigonometry Page 2

Page 3: 3.2 The Sine and Cosine Ratios - Weeblycolafson.weebly.com/.../3.2_the_sine_and_cosine_ratios.pdf · 2018. 9. 6. · 3.2 Sine and Cosine Ratios 3.2 The Sine and Cosine Ratios Ch 3

that the guy wire forms with the ground.

Find the missing sides.5.

b)a)

Determine the length of a kite string if the kite is flying at a

vertical height of 43.3 meters above the ground, and the

string makes an angle of 62º with the ground. Express your

answer to the nearest tenth of a metre

c)

Assignment p120 #1-10,12-14

Diagrams needed for all word problems!!

Ch 3 Trigonometry Page 3