Transcript DO NOW: Find each value.

Lesson 14.5 Right Triangle Trigonometry
DO NOW: Find each value.
A
1. Sin C =
2. Cos C =
15
17
3. Tan C =
4. Sin A =
5. Cos A =
B
8
C
6. Tan A =
1. Define Sin, Cos
and Tan of an angle
in a right triangle.
2. How can you
describe the pair of
angles A and C?
1) A right triangle has sides 3, 4 and 5. Find the sin ratio
for the angle opposite the side of length 3.
2) A ship leaves port and heads due north at 8 miles per
hour at the same time that another ship leaves port and
heads due west at 15 miles per hour. What is the angle
from the second ship to the first ship measured from the
line of sight to port?
3) One angle in a right triangle is 37° and the
hypotenuse is 10. Find the other angle and two
sides.
Cofunction Identities
The following pairs of trig functions are
Cofunctions:
sine and COsine
Secant and COsecant
Tangent and COtangent
4. Complete the chart below for 5 pairs of
angles, where α and β are complementary.
α
β
32°
58°
sin α cos β tan α cot β sec α csc β
.5299
Without using a calculator, evaluate:
Arccos .643 + Arcsin .643 =