Transcript 7.2 Right Trigonometry

4.3 Right  Trigonometry
The six trig ratios:
sine – sin cosine – cos
tangent – tan
cosecant – csc
secant – sec
cotangent – cot
4.3 Right  Trigonometry
opposite
sin  
hypotenuse
hypotenuse
csc  
opposite
4.3 Right  Trigonometry
adjacent
cos  
hypotenuse
hypotenuse
sec  
adjacent
4.3 Right  Trigonometry
opposite
tan  
adjacent
adjacent
cot  
opposite
Ex 1: Solve for x.
x
25˚
5
Ex 2: Sketch a triangle that
has an acute angle , and
find the other five trig ratios
of . Then find .
8
csc  
5
4.3 Special Right ’s
3
1
30˚
60˚
2
4.3 Special Right ’s
45˚
2
1
45˚
1
Ex 3: Solve for x & y.
x
y
30˚
5
Ex 4: Solve for x & y.
x
8
45˚
y
Ex 5: Evaluate w/out a
calculator.
sin 60 cos 45  sin 45 cos 60 



2

4.3 Right  Trigonometry
Solve a Triangle: Find the
measure of all its parts.
Line of Sight:
Horizontal Leg
4.3 Right  Trigonometry
Angle of Depression =
Below Line of Sight
Angle of Elevation =
Above Line of Sight
Ex 6: An airplane is flying at an
elevation of 5150 ft, directly
above a straight highway. Two
motorists are driving cars on the
highway on opposite sides of the
plane, and the angle of
depression to one car is 35 and
to the other is 52. How far apart
are the cars?
Ex 1: Find the value of the
six trig ratios of A.
A
7
B
4