Make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. Choose the correct answer below. O A. cos(x) + sin(x) sec(x) cos(x) + sec(x) sin(x) %3D sec(x) cot(x) + sec(x) (1) cot(x) cos(x) + tan(x) _ cos(x)+ tan(x) _ cos(x) cot(x) cot(x) + 1 = sin(x) %3D cot(x) cot(x) + cot(x) cot(x) O B. cos(x) + sin(x) cot(x) cos(x) + cot(x) sin(x) %3D cot(x) + 1 cot(x) cos(x) + cos(x) cot(x) cot(x) + cot(x) (1) cos(x)(cot(x)+ 1) %3D cos(x) = sin(x) %3D cot(x) cot(x)+ cot(x) cot(x)(cot(x) + 1) cot(x) OC. cos(x) + sin(x) sec(x) + csc(x) cot(x) +1 tan(x) sec(x) + tan(x) csc(x)_ cot(x) cos(x)+ sec(x) _ sin(x) tan(x) + 1 = sin (x) csc(x) %3D tan(x) tan(x) + tan(x) cot(x) cot(x) + tan(x) O D. cos(x) + sin(x) cos(x)(1 + tan(x)) cos(x) cot(x) +1 = cot(x) %3D %3D cot(x)(1 + csc(x)) sin(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 77RE
Question
cos(x) + sin(x)
Graph
and make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.
cot(x) + 1
cos(x) + sin(x)
Choose the correct graph of y =
cot(x) + 1
О А.
В.
[- 27, 2n, T/2] by
[-2, 2, 1]
[-2т, 2т, т/2] bу
[-6, 6, 1]
C.
D.
[-2т, 2т, т/2] by
[-2, 2, 1]
[- 27, 2n, T/2] by
[-6, 6, 1]
Transcribed Image Text:cos(x) + sin(x) Graph and make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. cot(x) + 1 cos(x) + sin(x) Choose the correct graph of y = cot(x) + 1 О А. В. [- 27, 2n, T/2] by [-2, 2, 1] [-2т, 2т, т/2] bу [-6, 6, 1] C. D. [-2т, 2т, т/2] by [-2, 2, 1] [- 27, 2n, T/2] by [-6, 6, 1]
Make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. Choose the correct answer below.
O A. cos(x) + sin(x) sec(x) cos(x) + sec(x) sin(x)
cot(x) + 1
cot(x) cos(x) + tan(x)_ cos(x) + tan(x) _ cos(x)
cot(x) cot(x) + cot(x)
sec(x) cot(x) + sec(x) (1)
= sin(x)
cot(x)
cot(x)
B. cos(x) + sin(x) cot(x) cos(x) + cot(x) sin(x)
%3D
cot(x) + 1
cot(x) cos(x) + cos(x)
cot(x) cot(x) + cot(x) (1)
cos(x)(cot(x) + 1) cos(x)
sin(x)
cot(x) cot(x) + cot(x)
cot(x)(cot(x) + 1)
cot(x)
O C. cos(x) + sin(x) sec(x) + csc(x)
cot(x) + 1
tan(x) sec(x) + tan(x) csc(x) cot(x) cos(x) + sec(x) _ sin(x)
tan(x) + 1
= sin (x)
tan(x) tan(x) + tan(x)
cot(x) cot(x) + tan(x)
csc(x)
O D. cos(x) + sin(x) cos(x)(1 + tan(x)) cos(x)
= cot(x)
%3D
cot(x) + 1
cot(x)(1 + csc(x))
sin(x)
Transcribed Image Text:Make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. Choose the correct answer below. O A. cos(x) + sin(x) sec(x) cos(x) + sec(x) sin(x) cot(x) + 1 cot(x) cos(x) + tan(x)_ cos(x) + tan(x) _ cos(x) cot(x) cot(x) + cot(x) sec(x) cot(x) + sec(x) (1) = sin(x) cot(x) cot(x) B. cos(x) + sin(x) cot(x) cos(x) + cot(x) sin(x) %3D cot(x) + 1 cot(x) cos(x) + cos(x) cot(x) cot(x) + cot(x) (1) cos(x)(cot(x) + 1) cos(x) sin(x) cot(x) cot(x) + cot(x) cot(x)(cot(x) + 1) cot(x) O C. cos(x) + sin(x) sec(x) + csc(x) cot(x) + 1 tan(x) sec(x) + tan(x) csc(x) cot(x) cos(x) + sec(x) _ sin(x) tan(x) + 1 = sin (x) tan(x) tan(x) + tan(x) cot(x) cot(x) + tan(x) csc(x) O D. cos(x) + sin(x) cos(x)(1 + tan(x)) cos(x) = cot(x) %3D cot(x) + 1 cot(x)(1 + csc(x)) sin(x)
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