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.L.H.S.-R.H.S. HW/ Brove that: (1) 1-tan? x=sechx (2) coth x-1=csch?x (3) sinh¢cFy)=sinhx.coshy Fcoshx:sinhy %3D

.L.H.S.-R.H.S. HW/ Brove that: (1) 1-tan? x=sechx (2) coth x-1=csch?x (3) sinh¢cFy)=sinhx.coshy Fcoshx:sinhy %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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.L.H.S.-R.H.S. HW/ Prove-that: (1) 1-tank x=s (2) coth x-1=cschx (3) sinh(rFy)= sinhx.coshy Fcoshx;sinhy (4) cosh(x F y) = cosh x.cosh y F sinh x.sinh y (5) sinh 2x = 2.sinh x.coshx (6) cosh2x = cosh x+sinh x= 2.coshx-1=2.sinhx+1 %3D (7) coshx+ sinhx = e* (8) coshx-sinhx = e* (9) cosh(-x) = cosh x. .(even) (10) sinh(-x) = -sinh x....(odd) tanh x+ tanh y 1+tanh x.tanh y (11) tanh(x+ y) = (12) tanh(2x)= 2. tanh x %3D 1+ tanhx
Transcribed Image Text:.L.H.S.-R.H.S. HW/ Prove-that: (1) 1-tank x=s (2) coth x-1=cschx (3) sinh(rFy)= sinhx.coshy Fcoshx;sinhy (4) cosh(x F y) = cosh x.cosh y F sinh x.sinh y (5) sinh 2x = 2.sinh x.coshx (6) cosh2x = cosh x+sinh x= 2.coshx-1=2.sinhx+1 %3D (7) coshx+ sinhx = e* (8) coshx-sinhx = e* (9) cosh(-x) = cosh x. .(even) (10) sinh(-x) = -sinh x....(odd) tanh x+ tanh y 1+tanh x.tanh y (11) tanh(x+ y) = (12) tanh(2x)= 2. tanh x %3D 1+ tanhx
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