25. Prove the following identities. Use proper form and show one step per line. tan (1-x) a) tan = 1-tan x 1+tan x

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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25. Prove the following identities. Use proper form and show one step per line.
(1-x)
a) tan
=
b) 2 cos x csc x =
1-tan x
1+tan x
sin 2x
1-cos²x
Transcribed Image Text:25. Prove the following identities. Use proper form and show one step per line. (1-x) a) tan = b) 2 cos x csc x = 1-tan x 1+tan x sin 2x 1-cos²x
c)
csc²x - 2
csc²x
= cos 2x
Transcribed Image Text:c) csc²x - 2 csc²x = cos 2x
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