Download Basic Trig Ratios SOHCAHTOA

Basic
Trig Ratios
SOHCAHTOA
What is a
Trig Ratio?
Find the
Sine of an
Angle
Find the
Cosine of an
Angle
Find the
Tangent of
an Angle
Thank you for buying my foldable! ©Foresta Math Please stop back to my store and let me know how the game went. http://www.teacherspayteachers.com/Store/Foresta-­‐Math Facebook: Pinterest: https://pinterest.com/forestamath Email: [email protected] Website: http://forestamath.com Frame by Mercedes Hutchens http://www.teacherspayteachers.com/Store/Mercedes-­‐Hutchens Instructions Print or copy page 3 and 4 double sided. Place the paper so the examples are face down. Cut along the dotted lines to create Jlaps. Flip and fold the Jlaps inwards. Glue the foldable into notes or on a piece of construction paper. Go through the foldable with your students. Find the
Sine of an
Angle
What is a Trig
Ratio?
Preview
Find the
Tangent of an
Angle
Find the
Cosine of an
Angle
A Trigonometric Ratio is a
ratio of the lengths of two
sides of a right triangle. The
three basic trig ratios are
sine, cosine, and tangent. Trig Ratios
Finding the Sine of an Angle
B
Sine = opposite
hypotenuse
sinA =
13
A
12
x
C
33°
Cosine = adjacent
hypotenuse
cosA =
12
B
5
sinB =
B
Solving A Right Triangle
Using Sine
C
A
1)  What is the sinA?
3)  Find the value of x.
cosB =
sinA =
C
A
Preview
Tangent = opposite
adjacent
SOHCAHTOA
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
Finding the Cosine
of an Angle
B
tanA =
2)  What is the sinB?
tanB =
sinB =
Solving A Right Triangle
Using Cosine
Finding the Tangent
of an Angle
24°
A
8
4) What is the cosA?
cosA =
5)  What is the cosB?
cosB =
C
25
11
6
A
x
C
B
B
B
10
Solving A Right Triangle
Using Tangent
A
24
7) What is the tanA?
6) Find the value of x.
7
4
C
38°
A
x
C
9) Find the value of x.
tanA =
8) What is the tanB?
tanB =
A Trigonometric Ratio is a
ratio of the lengths of two
sides of a right triangle. The
three basic trig ratios are
sine, cosine, and tangent. B
Trig Ratios
Finding the Sine of an Angle
B
Sine = opposite
hypotenuse
sinA = BC
AB
13
sinB = AC
AB
C
A
12
B
5
12
x
C
33°
Cosine = adjacent
hypotenuse
cosA = AC
AB
A
Solving A Right Triangle
Using Sine
C
A
1)  What is the sinA?
3)  Find the value of x.
cosB = BC
AB
sinA = opposite = 5
hypotenuse 13
sin33° = x
12
Preview
Tangent = opposite
adjacent
SOHCAHTOA
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
Finding the Cosine
of an Angle B
tanA = BC
AC
2)  What is the sinB?
Solving A Right Triangle
Using Cosine
6
Finding the Tangent
of an Angle
C
A
x
4) What is the cosA?
cosA = adjacent = 8 = 4
hypotenuse 10 5
5)  What is the cosB?
C
25
A
24
7) What is the tanA?
6) Find the value of x.
cos24° = x
11
Solving A Right Triangle
Using Tangent
B
7
4
C
38°
A
x
C
9) Find the value of x.
tanA = opposite = 7
adjacent 24
tan38° = 4
x
8) What is the tanB?
x = 11cos24°
cosB = adjacent = 6 = 3
hypotenuse 10 5
x = 6.5357
B
11
24°
8
sinB = opposite = 12
hypotenuse 13
B
10
A
x = 12sin33°
tanB = AC
BC
x = 10.049
xtan38° = 4
tanB = opposite = 24
adjacent 7
x = 4/(tan38°) = 5.1198