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12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st or Feb. 1st you only qualify for a retake if you have at least 75% in the homework category before the test date. You still get 7 10 points on homework that is turned in late, a grade penalty only kicks in if you are not getting signatures for late assignments, or if you are constantly late. assignments turned in after Tuesday Jan 30th will get at most 6 points. You can not retake a test until after all assignments have been turned in. It is easier on everybody if you get help before the test and avoid a retake completely.

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Page 1: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Test is block day Jan. 31st or Feb. 1st

you only qualify for a retake if you have at least 75% in the homework category before the test date.

You still get 7 ­ 10 points on homework that is turned in late, a grade penalty only kicks in if you are not getting signatures for late assignments, or if you are constantly late.

assignments turned in after Tuesday Jan 30th will get at most 6 points.

You can not retake a test until after all assignments have been turned in.It is easier on everybody if you get help before the test and avoid a retake completely.

Page 2: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Page 3: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Remember soh ­ cah ­ toa

θ

opposite

adjacent

hypotenuse

Page 4: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

 soh  ­  cah  ­  toa

sinθ= hypopp

cosθ=adjhyp tanθ=opp

adj

What are the reciprocals of sine, cosine and tangent?

cscθ= hypopp secθ= adj

hypcotθ= opp

adj

Page 5: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

4

3Find exact values

sinθ=

cosθ=

tanθ= cotθ=

secθ=

cscθ=

θ

Page 6: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Sketch triangle and find the other trig. functions

1. cosθ= 37

sinθ=

cosθ=

tanθ= cotθ=

secθ=

cscθ=

Page 7: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

2. cotθ= 5 sinθ=

cosθ=

tanθ= cotθ=

secθ=

cscθ=

Sketch triangle and find the other trig. functions

Page 8: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

hint for 26: sin = 1/csc or csc = 1/sinfind an angel between 0o and 90o whose sin = hint #2

Page 9: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Find the exact values of the indicated variables.

x

y15

300 600

r

x

38

no calculators.

hypotshort leg

long leg

given hypotenuse, divide by 2 for short leg.  given short leg, multiply by 2 for hypotenuse

given short leg, multiply by root 3 for long leg.given long leg, divide by root 3 for short leg.

For All 30­60­90 triangles:

Page 10: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

The angle you are given is the angle of elevation, which represents the angle from the horizontal upward to the object.

Page 11: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

A 25 meter line is used to tether a helium filled balloon. Because of a breeze the line makes an angle of approximately 75 degrees with the ground.Draw a right triangle for this situation.

Find all the unknown quantities.How high of the ground is the balloon? 

Page 12: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018

Test is block day Jan. 31st or Feb. 1st

you only qualify for a retake if you have at least 75% in the homework category before the test date.

You still get 7 ­ 10 points on homework that is turned in late, a grade penalty only kicks in if you are not getting signatures for late assignments, or if you are constantly late.

assignments turned in after Tuesday Jan 30th will get at most 6 points.

You can not retake a test until after all assignments have been turned in.

It is easier on everybody if you get help before the test and avoid a retake completely.

page 280 ( 1­35 odd and 81 skip #33) Must show steps, draw and label the triangle, show the Pythagorean theorem . . .

Page 13: Test is block day Jan. 31st or Feb. 1stcohensmath.weebly.com/uploads/2/2/7/5/22756812/1... · 12218 (4.3 Right triangle trig).notebook January 23, 2018 Test is block day Jan. 31st

1­22­18 (4.3 Right triangle trig).notebook January 23, 2018