What is the general solution for solvefor a,45=arctanh(a/b) ?

The general solution for solvefor a,45=arctanh(a/b) is a=\emptyset b

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solvefor a,45=arctanh(a/b)

solve for

a, 45 = arctanh (\frac{a}{b})

a = \emptyset b

Solution steps

45 = arctanh (\frac{a}{b})

Switch sides

arctanh (\frac{a}{b}) = 45

Subtract

45

from both sides

arctanh (\frac{a}{b}) - 45 = 0

Solve by substitution

arctanh (\frac{a}{b}) = 45

Let:

u = \frac{a}{b}

arctanh (u) - 45 = 0

Solve by substitution

arctanh (u) = 45

Rewrite using trig identities

- 45 + \frac{ln ( \frac{1 + u}{1 - u} )}{2} = 0

Move

45

to the right side

\frac{ln ( \frac{1 + u}{1 - u} )}{2} = 45

Multiply both sides by

2

ln (\frac{1 + u}{1 - u}) = 90

Apply trig inverse properties

No Solution

Substitute back

u = \frac{a}{b}

\frac{a}{b} = \emptyset : a = \emptyset b; b \neq = 0

a = \emptyset b

x, sec (x) = 3

cot (θ - 3 0^{\circ}) = \frac{1}{3}

(cot (x) - 3) (csc (x) + 2) = 0

sin (x) = \frac{7}{9.4}

cos (x) = \frac{6}{11}

What is the general solution for solvefor a,45=arctanh(a/b) ?
The general solution for solvefor a,45=arctanh(a/b) is a=\emptyset b