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Unit 4 - Trigonometry
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What is the trig ratio for tan(z)?
21/20
What is the trig ratio for cos(C)?
20/29
What is the trig ratio for sin(A)?
30/34
When solving for a missing side, what should we do when the variable is on the bottom?
# divided by the trig ratio
True or False: when solving for the missing sides, we use the inverse trig functions
False!
For an acute angle ?, the equation sin(16) = cos(θ) is true. What is the value of θ? How do you know?
cos(74)
For an acute angle ?, the equation sin(θ) = cos(54) is true. What is the value of θ? How do you know?
sin(45) = cos(90 - 54) (they both add up to 90)
A 20 foot ladder rests against a wall. The ladder makes a 55 degree angle with the ground. How far from the wall is the base of the ladder? Round your answer to one decimal place.
11.5 ft
What does each of the letters in SOHCAHTOA stand for?
Sinθ = (opp/hyp), Cosθ = (adj/hyp), Tanθ = (opp/adj)
What trig ratio(s) use adjacent?
Tangent, Cosine
What trig ratio(s) use opposite?
Sine, Tangent
What trig ratio(s) use hypotenuse?
Sine, Cosine
If you are on the top of a building and looking down towards the ground, what angle are you creating?
Angle of Depression
If you are on the ground, looking up towards the top of a cliff, what angle are you creating?
Angle of Elevation
What is the six-letter word that tells you all of the Trigonometric Ratios that we can use
SOHCAHTOA
What are the steps to finding a missing angle on a calculator?
Turn on ur calculator, 2nd, π, inverse trig ratio, side length, divided, side length, close ), enter
Solve for x! Round your answers to 1 decimal place
x = 26.3cm
Solve for x! Round your answers to 1 decimal place
x = 16.0m
Solve for x! Round your answers to 1 decimal place
x = 27.5km
Solve for x! Round your answers to 1 decimal place
x = 5.7mm
Solve for x! Round your answers to 1 decimal place
x = 14.0m
Solve for x! Round your answers to 1 decimal place
x = 12.5 cm
Based on the given information, what trig ratio is being used?
Cosine
Based on the given information, what trig ratio is being used?
Sine
Based on the given information, what trig ratio is being used?
Tangent
Based on the given information, what trig ratio is being used?
Cosine
Based on the given information, what trig ratio is being used?
Tangent
Based on the given information, what trig ratio is being used?
Sine
Based on the given information, what trig ratio is being used?
Cosine
Based on the given information, what trig ratio is being used?
Sine