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Popular >

inverse of 1+cot(x-pi/4)

Solution

inverse

1 + cot (x - \frac{π}{4})

Solution

arccot (x - 1) + \frac{π}{4}

Solution steps

Solve for

cot (x - \frac{π}{4}), y = 1 + cot (x - \frac{π}{4})

cot (x - \frac{π}{4}) = y - 1

cot (a) = b \Rightarrow a = arccot (b)

x - \frac{π}{4} = arccot (y - 1)

Solve for

x, x - \frac{π}{4} = arccot (y - 1)

arccot (y - 1) + \frac{π}{4}

Substitute

y = x

arccot (x - 1) + \frac{π}{4}

Popular Examples

slope of-2x=5y+20 slope

- 2 x = 5 y + 20

inflection-x^3+3x^2+1 inflection points

- x^{3} + 3 x^{2} + 1

inverse of f(x)=1+(8+x)^{1/2}inverse

f (x) = 1 + (8 + x)^{\frac{1}{2}}

inverse of f(x)=sqrt(3-e^{2x)}inverse

f (x) = 3 - e^{2 x}

symmetry-2/x symmetry

- \frac{2}{x}

Frequently Asked Questions (FAQ)

What is the inverse of 1+cot(x-pi/4) ?
The inverse of 1+cot(x-pi/4) is arccot(x-1)+pi/4