Verifying a Trigonometric Identity In Exercises 19–24, verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically. 1 1 19. tan x tan x + cot x cot x 1 1 20. sin x = csc x - sin x csc x 1 + sin 0 cos 0 + 21. = 2 sec 0 cos 0 cos 0 cot 0 1 + sin 0 22. 1 - sin 0 1 = csc 0 1 1 23. cos x + 1' cos x – 1 - 2 csc x cot x cos x sin x cos x 24. cos x 1- tan x sin x – cos x
Verifying a Trigonometric Identity In Exercises 19–24, verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically. 1 1 19. tan x tan x + cot x cot x 1 1 20. sin x = csc x - sin x csc x 1 + sin 0 cos 0 + 21. = 2 sec 0 cos 0 cos 0 cot 0 1 + sin 0 22. 1 - sin 0 1 = csc 0 1 1 23. cos x + 1' cos x – 1 - 2 csc x cot x cos x sin x cos x 24. cos x 1- tan x sin x – cos x
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
Verifying a Trigonometric Identity
In Exercises 19–24, verify the identity
algebraically. Use the table feature of
a graphing utility to check your result
numerically.
Transcribed Image Text:Verifying a Trigonometric Identity
In Exercises 19–24, verify the identity
algebraically. Use the table feature of
a graphing utility to check your result
numerically.
1
1
19.
tan x
tan x + cot x
cot x
1 1
20.
sin x
= csc x - sin x
csc x
1 + sin 0
cos 0
+
21.
= 2 sec 0
cos 0
cos 0 cot 0
1 + sin 0
22.
1 - sin 0
1 = csc 0
1
1
23.
cos x + 1' cos x – 1
- 2 csc x cot x
cos x
sin x cos x
24. cos x
1- tan x
sin x – cos x
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