Prove the reciprocal identities csc 0 = sin 0 1 sec 0 = 1 and cot 0 = cos 0 tan 0 1 If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the sine and cosecant function to prove the reciprocal identity csc 0% D sin 0 1 csc 0 = . y 1 O A. Since sin 0=y and csc 0= sin 0 1 O B. Since sin 0 =x and csc 0 = 1 csc 0 = sin 0 1 O C. Since sin 0 = 1 and csc 0 =x, csc 0 = sin 0 1 csc 0 = sin 0 O D. Since sin 0 = and csc 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 40E
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1
Prove the reciprocal identities csc 0 =
sin 0
1
and cot 0 =
1
sec 0 =
cos 0
tan 0
1
If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the sine and cosecant function to prove the reciprocal identity csc 0 D
sin 0
1
csc 0 =
y'
1
O A. Since sin 0 =y and csc 0 =
sin 0
1
1
O B. Since sin 0 =x and csc 0 =
csc 0 =
x'
sin 0
1
O C. Since sin 0 =
1
and csc 0 =x, csc 0 =
sin 0
1
O D. Since sin 0 =
y
and csc 0 =
csc 0 =
sin 0
Transcribed Image Text:1 Prove the reciprocal identities csc 0 = sin 0 1 and cot 0 = 1 sec 0 = cos 0 tan 0 1 If P(x,y) is the point on the unit circle corresponding to 0, then use the definition of the sine and cosecant function to prove the reciprocal identity csc 0 D sin 0 1 csc 0 = y' 1 O A. Since sin 0 =y and csc 0 = sin 0 1 1 O B. Since sin 0 =x and csc 0 = csc 0 = x' sin 0 1 O C. Since sin 0 = 1 and csc 0 =x, csc 0 = sin 0 1 O D. Since sin 0 = y and csc 0 = csc 0 = sin 0
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