Part II: The Answers
482
Answers
701–800
775.
0
Using the definition of hyperbolic sine gives you the following:
sinh0
2
1 1
2
0
0
0
=
−
= − =
−
e e
776.
5
4
Using the definition of hyperbolic cosine gives you the following:
cosh ln
ln
ln
ln
ln
2
2
2
2 1
2
2
4 1
4
5
4
2
2
2
2
1
( )=
+
=
+ ( )
=
+ = + =
−
−
e
e
e
e
777.
37
35
Using the definition of hyperbolic cotangent gives you the following:
coth ln
cosh ln
sinh ln
ln
ln
ln
ln
ln
6
6
6
2
2
6
6
6
6
6
( )=
( )
( )
=
+
−
=
+
−
−
e
e
e
e
e
e
l ln
ln
ln
6
1
6
6
1
1
1
6 6
6 6
6 1
6
6 1
6
36 1
36 1
37
35
( )
− ( )
= +
−
=
+
−
=
+
−
=
−
−
−
−
e
e
778.
e
e
2
2
1
1
−
+
Using the definition of hyperbolic tangent gives you the following:
tanh
sinh
cosh
1
1
1
2
2
1
1
1
1
1
1
1
1
2
2
=
=
−
+
=
−
+
=
−
+
−
−
e e
e e
e e
e e
e
e