NAME: __________________________________________________
Algebra 2: Homework 12-7
1) Use the Pythagorean identity
following:
( ), given
( )
a)
for
c)
( )
( ) given
( )
( )
( )
, where
b)
for
d)
is any real number, to find the
( ) given
( )
DATE: ___________________
( )
( ) given
√
for
( )
for
2) Find the degree measures of two angles, one
3) If a tree 28 meters tall casts a shadow 32
positive and one negative, that are coterminal with meters long, what is the measure of the angle of
65°.
elevation of the sun to the nearest degree?
4) Find, to the nearest
tenth, the length of the
side whose measure is
represented by x.
5) P is a point on a unit circle with coordinates
(0.6, 0.8). Find (a) cos θ, (b) sin θ, and (c) tan θ.
x
12
42°
Find the exact value of the following:
6) sin 90° + cos 45°
7) (cos 60°)2 + (sin 60°)2
find (
)(
8) How many radians does the minute hand of a
clock rotate through over 20 minutes?
9) If
10) Draw and label an angle with the given
measure in standard position.
235°
11) If
and
the terminal side of lie?
12) If the terminal side of an angle
numnerical value of
) in simplest form.
what quadrant does
in standard position, passes through the point (-3, 4), find the