8-4 sine, cosine, and tangent ratios
DESCRIPTION
8-4 Sine, Cosine, and Tangent Ratios. Chapter 8 Section 4 Mrs. Brook . Vocabulary. Derived from Greek words meaning “triangle measurement”. Trigonometry. Triangle terminology. Opposite side: the side opposite the angle. angle. opposite. opposite. opposite. angle. angle. angle. - PowerPoint PPT PresentationTRANSCRIPT
Opposite side: the side opposite the angle
angle
angle
angle
op
posite
opposite
op
posite
oppositeangle
Adjacent side: the side beside the angle
adjacent
adjacent
ad
jace
nt
ad
jace
nt
angle
angle
angle
angle
Hypotenuse: the longest side and across from the right angle
hypotenuse
hypotenuse
hypotenuse
hypotenuse
SOH CAH TOA
SOH
CAH
TOA
You need to memorize this!!! Use SOH CAH TOA to help you remember these ratios!!!
Write the Sin, Cos, and Tan Ratios for angle A
A
BC7
2425
SOH CAH TOA
Sin A = 7/25
Cos A = 24/25
Tan A = 7/24
Try this one
Sin E
Cos E
Tan E
Sin F
Cos F
Tan F
SOH CAH TOA
6/10 = 3/5
8/10 = 4/5
6/8 = 3/4
8/10 = 4/5
6/10 = 3/5
8/6 = 4/3
Find the value of x using Trig.Note: If “x” is on top - multiply; If “x” is on bottom - divide!!
647
X------
THIS IS JUST THE ANGLE!!
Remember: SOH CAH TOA
Since we have anO & A we use Tan(no hypotenuse!)
Tan 64 = x/7
Since x is on top, mult.Type 7 * tan 64 in calc.
67x
6------
35----
X20
6250
------x
Since we have anO & A we use Tan(no hypotenuse!)
Tan 67 = 6/x
Since we have anO & H we use Sin
Sin 35 = x/20
Since we have anA & H we use Cos
Cox 62 = 50/x
Since x is on bottom divide.Type 6 divided by tan 67 in calc
Since x is on top, mult.Type 20 * sin 35 in calc.
Since x is on bottom divideType 50 divided by cos 62in calc.
Find the value of x degrees using Trig. Note: When finding an angle measure use “inverse” Trig. or
the 2nd button!!
x39____
x16-----20
x____45
Remember: SOH CAH TOA
Since we have anO & A we use Tan(no hypotenuse!)
Tan x = 9/3
Since we have anA & H we use Cos
Cos x = 16/20
Since we have anO & H we use Sin
Sin x = 4/5
Since x is the angle, use the 2nd button!Type 2nd Tan, then 9/3 using the n/d button.
Since x is the angle, use the 2nd button!Type 2nd Cos, then 16/20 using the n/d button.
Since x is the angle, use the 2nd button!Type 2nd Sin, then 4/5 using the n/d button.
71.6 36.9 53.1
What have I learned?
SOH CAH TOA
If “x” is on bottom “divide”
If “x” is on top “multiply”
If solving for a side use regular sin, cos, or tan
If solving for an angle use inverse sin, cos, or tan