What is the value of tan((-1590)/(3cot^2(60))) ?

The value of tan((-1590)/(3cot^2(60))) is 0.57735…

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tan((-1590)/(3cot^2(60)))

tan (\frac{- 159 0 ^{\circ}}{3 cot ^{2} ( 6 0 ^{\circ} )})

0.57735 \dots

Solution steps

tan (\frac{- 159 0 ^{\circ}}{3 cot ^{2} ( 6 0 ^{\circ} )})

Refine to a decimal form

= 0.57735 \dots

cos (46 5^{\circ})

arccos (sin (\frac{5 π}{2}))

4 sin (18 0^{\circ})

sin (\frac{7 π}{8}) - sin (\frac{7 π}{6}) - cot (\frac{π}{3})

2 sin (6 0^{\circ}) sec (3 0^{\circ}) cos (4 5^{\circ}) tan (4 5^{\circ})

What is the value of tan((-1590)/(3cot^2(60))) ?
The value of tan((-1590)/(3cot^2(60))) is 0.57735…