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Warm up!
You are playing in the staff-student
touch football game, and Mr. Wu has
just caught a pass at the 50 yd line
from Mr. Evares. You are also on the
50 yd line, but you are on the opposite
side of the field, 30 yds from Mr. Wu.
What angle would you have to take to
catch Mr. Wu at the 1 yd line?
For your exams…
…the average was an %…
…the median was an %…
…and umpteen folks haven’t taken it yet!
The Wørd
Section 4.3
Right Triangle
Trigonometry
So a li’l trig…
Find the length of the missing side.
10
8
5
53.13
53.13
6
3
adj
cos  
hyp
hyp
sec  
adj
opp
tan  
adj
adj
cot  
opp

opp
sin  
hyp
Triangle Trig
hyp
csc  
opp
…before Thanksgiving…
Quotient Identities
sin 

cos 
cos 

sin 
…before Thanksgiving…
Reciprocal Identities
1

sin 
1

csc 
1

cos 
1

sec 
1

tan 
1

cot 
…and a li’l trig after
Thanksgiving…
Find the lengths of the missing sides.
11
72
…and a li’l trig after winter break.
Find the lengths of the missing sides.
15
5
I’ve never split trig up
like that before…
Find the lengths of the missing sides.
24
7
…and I’m a li’l
worried about y’all.
Find the values of the six trig functions
of the given angle.
10

6
Who’s going to
remember their math…
Find the values of the six trig functions
of the given angle.

13
12
…over a fiveday weekend?
Sketch a right triangle that corresponds
to the trig function given. Then find
the values of the other trig functions.
2
sin  
3
That’s Thanksgiving for
those keeping score.
Sketch a right triangle that corresponds
to the trig function given. Then find
the values of the other trig functions.
13
sec  
4
And then there’s the
thirteen day break…
Find the lengths of the missing sides.
30
4 3
…that includes Christmas
and New Years’.
Find the lengths of the missing sides.
30
5
That’s nearly two weeks for
your brains to atrophy.
Find the lengths of the missing sides.
12
60
But after each break, we’re
coming back to the trig.
Find the lengths of the missing sides.
7 3
60
And only the strong
will survive…
Find the lengths of the missing sides.
45
6
Only the students that
learn for keeps…
Find the lengths of the missing sides.
10 2
45
…will do well after
each break.
Find the lengths of the missing sides.
8
45
And those that
don’t…
Find the lengths of the missing sides.
11 2
45
…good luck…
For 30-60-90 triangles…
…and enjoy
those retakes.
For 45-45-90 triangles…
Mr. Wu wants to swim across the
Mississippi from the Arch to Illinois.
The Arch is directly across from the
Casino Queen. When Mr. Wu walks 100
ft. downstream, he sights the Queen at
an angle of 81˚ from the bank of the
river. How wide is the Mississippi?
In traveling across flat land, you notice
a mountain directly in front of you. Its
angle of elevation (to the peak) is 3.5˚.
After you drive 13 miles closer to the
mountain, the angle of elevation is 9˚.
How tall is the mountain?
And your homework!
4.3 from the freaking packet!