If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the cosine and secant function to prove the reciprocal identity sec 0= cos 0 O A. Since cos 0= y and sec 0 = sec 0 = y' cos 0 1 O B. Since cos 0= and sec 0 = y y sec 0 = x' cos 0 1 and sec 0=x, sec 0 = O C. Since cos 0= 1 cos 0 O D. Since cos 0=x and sec 0 = 1 sec 0 = cos 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
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Prove the reciprocal identities csc 0=
sin 0
1
and cot 0 =
sec 0 =
cos 0
tan 0
Transcribed Image Text:Prove the reciprocal identities csc 0= sin 0 1 and cot 0 = sec 0 = cos 0 tan 0
If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the cosine and secant function to prove the reciprocal identity sec 0 =
1
cos 0
1
O A. Since cos 0 =
y
and sec 0 =
sec 0 =
y
cos 0
1
O B. Since cos 0 =
and sec 0 =
y
y
sec 0 =
cos 0
O C. Since cos 0=
1
and sec 0 =x, sec 0 =
cos 0
O D. Since cos 0=x and sec 0 =
1
sec 0 =
cos 0
Transcribed Image Text:If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the cosine and secant function to prove the reciprocal identity sec 0 = 1 cos 0 1 O A. Since cos 0 = y and sec 0 = sec 0 = y cos 0 1 O B. Since cos 0 = and sec 0 = y y sec 0 = cos 0 O C. Since cos 0= 1 and sec 0 =x, sec 0 = cos 0 O D. Since cos 0=x and sec 0 = 1 sec 0 = cos 0
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