Complete the steps by applying trig identities to show that the left hand side of the equation is equivalent to the right hand side. = sec a Steps: sin z-cot a

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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12:24 0 & A A U
O * X 4 82%
2 of 5
Complete the steps by applying trig identities to show
that the left hand side of the equation is equivalent to
the right hand side.
sin z-ot a
d = sec a
Steps:
sin z-cot t
= sec a
sin z. cosr
%23
# sin a cos a
cas I
- (cos z + sin z)
: cot a cos a
1
sin z potx
sin
cos I
* OS sin a
sin z
sin z
: -. tan a
sin z
: cot r-
cos
sin z
H cot z cot a
sin
cos I
cOs
1+
sin z-cos t sin r
sia s(coe +1)
cos
COs
N+1
Next
Transcribed Image Text:12:24 0 & A A U O * X 4 82% 2 of 5 Complete the steps by applying trig identities to show that the left hand side of the equation is equivalent to the right hand side. sin z-ot a d = sec a Steps: sin z-cot t = sec a sin z. cosr %23 # sin a cos a cas I - (cos z + sin z) : cot a cos a 1 sin z potx sin cos I * OS sin a sin z sin z : -. tan a sin z : cot r- cos sin z H cot z cot a sin cos I cOs 1+ sin z-cos t sin r sia s(coe +1) cos COs N+1 Next
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