What is cos(arccot(4x-4)) ?

The solution to cos(arccot(4x-4)) is ((4x-4)sqrt(16x^2-32x+17))/(16x^2-32x+17)

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simplify cos(arccot(4x-4))

simplify

cos (arccot (4 x - 4))

\frac{( 4 x - 4 ) 16 x ^{2} - 32 x + 17}{16 x ^{2} - 32 x + 17}

Solution steps

cos (arccot (4 x - 4))

Use the following identity:

cos (arccot (x)) = \frac{x 1 + x ^{2}}{1 + x ^{2}}

= \frac{( 4 x - 4 ) 1 + ( 4 x - 4 ) ^{2}}{1 + ( 4 x - 4 ) ^{2}}

Simplify

= \frac{( 4 x - 4 ) 16 x ^{2} - 32 x + 17}{16 x ^{2} - 32 x + 17}

sin (π - nπ)

cos (x + \frac{2 π}{3}) - 2

(1 + tan^{2} (x))^{\frac{3}{2}}

sin (- t) \cdot sec (t) - tan (- t)

sin (6 0^{\circ} + a)

What is cos(arccot(4x-4)) ?
The solution to cos(arccot(4x-4)) is ((4x-4)sqrt(16x^2-32x+17))/(16x^2-32x+17)