For which value of x does the tangent function have the value of 1 on the interval 0 < x < π? Hint: For which value of x does tanx = 1 ? Refer to the unit circle below, if necessary.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question

For which value of x does the tangent function have the value of 1 on the interval 0 < x < π?

Hint: For which value of x does tanx = 1 ?

Refer to the unit circle below, if necessary.

180°,
3
(台)
2¹ 2
(受)
2 √2
2 2
120°,
Зл
4
135⁰,-
1
(39)
5元
2
6
(-1,0)
7元
210⁰,-
6
3 -1
2 ¹2
225°,
2 2
(學)
(受)
(台灣)
1
2 2
3
2
150°,
(0,1)
90⁰,12
2元
3
-
5元
4
240°,
4元
3
(0,-1)
Зл
2
270⁰,-
/3
(台)
2' 2
√2 2
60°,
860号(语语)
¹3
2 2
45°,
3 1
2'2
30°,
315°,
5元
3
300⁰,-
11元
6
330°,
7元
4
1-√√3
2' 2
(cos 0, sin 0)
(1,0)
3 -1
(告)
2
√√2-√
>
2 2
0º,0
Transcribed Image Text:180°, 3 (台) 2¹ 2 (受) 2 √2 2 2 120°, Зл 4 135⁰,- 1 (39) 5元 2 6 (-1,0) 7元 210⁰,- 6 3 -1 2 ¹2 225°, 2 2 (學) (受) (台灣) 1 2 2 3 2 150°, (0,1) 90⁰,12 2元 3 - 5元 4 240°, 4元 3 (0,-1) Зл 2 270⁰,- /3 (台) 2' 2 √2 2 60°, 860号(语语) ¹3 2 2 45°, 3 1 2'2 30°, 315°, 5元 3 300⁰,- 11元 6 330°, 7元 4 1-√√3 2' 2 (cos 0, sin 0) (1,0) 3 -1 (告) 2 √√2-√ > 2 2 0º,0
A
B
с
D
X = π
x = 3/²4
X
x=-=-
2
X c=74
Transcribed Image Text:A B с D X = π x = 3/²4 X x=-=- 2 X c=74
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