Using the reciprocal identity, the reciprocal of csc x is sin x: :) = 1 – cos? x csc2x csc2 x = 1-cos²x

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.CT: Test
Problem 10CT
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How did the solution of this problem remove the fraction to turn it into just CSCx on its own as opposed to before where it was 1/csc x?

I am not understanding the concept here

Using the reciprocal identity, the reciprocal of csc x is sin x:
:) = 1 – cos? x
csc2x
csc2 x =
1-cos²x
Transcribed Image Text:Using the reciprocal identity, the reciprocal of csc x is sin x: :) = 1 – cos? x csc2x csc2 x = 1-cos²x
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