Sine
Sin = ?/?
(Opposite)/(Hypotenuse)
Cos = ?/?
(Adjacent)/(Hypotenuse)
tan=?/?
(Opposite)/(Adjacent
True of False: You can use the given 90 degree angle to find the sin, cos, or tan.
False
The longest side of a triangle.
Hypotenuse
Find the sine ratio rounded to the nearest hundredth.
Opposite: 6
Hypotenuse: 8
Adjacent: 5.3
0.75
Find the cosine ratio rounded to the nearest tenth.
Opposite: 6
Hypotenuse: 8
Adjacent: 3
0.4
Find the tangent ratio rounded to the nearest tenth.
Opposite: 6
Hypotenuse: 8
Adjacent: 3
2
A ratio of the lengths of the two sides of a right triangle.
Trigonometric Ratio
The side of the triangle that does not share a vertex with the angle.
Opposite
Solve for x:
Sin61
Opposite: x
Hypotenuse: 27.4
Adjacent: 13.2
x = 24
Solve for x:
Cos27
Opposite: 8.6
Hypotenuse: 19
Adjacent: x
x = 16.9
Solve for x:
Tan52
Opposite: x
Hypotenuse: 21.1
Adjacent: 13
x = 16.6
The three most common trigonometric ratios.
Sine, Cosine, and Tangent
The side of a triangle that shares the vertex of the angle and is not the hypotenuse.
Adjacent
Find angle A (to the nearest tenth):
sin(A)=2/3
41.8
Find angle A (to the nearest tenth):
cos(A)=3/15
78.5
Find angle A (to the nearest tenth):
tan(A)=6/20
16.7
How you represent the inverse of each trigonometric ratio (how it is represented on the calculator).
Sin^-1, Cos^-1, Tan^-1
What does SohCahToa mean?
Sin=opposite/hypotenuse
Cos=adjacent/hypotenuse
Tan=opposite/adjacent
Use the inverse of sin(A) to find angle A (to the nearest tenth):
Opposite: 6
Hypotenuse: 8
Adjacent: 5.3
48.6
Use the inverse of cos(A) to find angle A (to the nearest tenth):
Opposite: 6
Hypotenuse: 8
Adjacent: 3
68.0
Use the inverse of tan(A) to find angle A (to the nearest tenth):
Opposite: 6
Hypotenuse: 8
Adjacent: 3
63.4
How you find the measure of the angle if you know the sin, cos, or tan ratio.
Inverse
What is the trick for remembering the ratios for trigonometric functions?
SohCahToa