5-3 Solving Trigonometric Equations Worksheet With Answers Page 11
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28interval [0, 2π) at
and
.
Therefore, on the interval [0, 2π) the solutions are
Therefore, the components will be equivalent when
5-3 Solving Trigonometric Equations
,
,
and
.
.
2
2
2
2
Find all solutions of each equation on the
30.
sec
x tan
x + 3 sec
x – 2 tan
x = 3
interval [0, 2 ).
SOLUTION:
32.
+ cos x = 2
SOLUTION:
The square of any real number must be greater than
2
or equal to zero so sec
x = –1 has no solutions.
Therefore, on the interval [0, 2π) the only solutions
are 0 and π.
On the interval [0, 2π), cos x =
when x =
and
31.
OPTOMETRY Optometrists sometimes join two
when x =
.
oblique or tilted prisms to correct vision. The
resultant refractive power P
of joining two oblique
R
prisms can be calculated by first resolving each
33.
+
= –4
prism into its horizontal and vertical components, P
H
and P
.
SOLUTION:
V
Using the equations above, determine for what
values of
P
and P
are equivalent.
V
H
SOLUTION:
The sine and cosine have the same values in the
interval [0, 2π) at
and
.
On the interval [0, 2π),cos x = –
when x =
Therefore, the components will be equivalent when
.
and when x =
.
Find all solutions of each equation on the
interval [0, 2 ).
34.
+
= cos x
eSolutions Manual - Powered by Cognero
Page 11
SOLUTION:
32.
+ cos x = 2
SOLUTION:
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education