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SO
H
CA
H
TO
A
Right Triangle
Trigonometry
CH
O
SH
A
CA
O
The sides of the right triangle are:
· the side opposite
hyp
· the side adjacent
opp
θ
· and the hypotenuse
adj
The trigonometric functions are
SO
H
CA
H
TO
A
CH
O
SH
A
CA
O
Example:
Calculate the trigonometric functions for   .
hyp
5
4
opp

3
adj
The six trig ratios are
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =
Your Turn!
Calculate the trigonometric functions for a 30° angle.
2
1
30
sin 30° =
=
cos 30° = adj =
hyp
opp
tan 30° =
=
adj
hyp
csc 30° =
=
opp
= 2
hyp
sec 30° =
=
=
adj
=
adj
cot 30° =
=
opp
=