What is the value of (tan(84)+tan(36))/(1-tan(84)tan(36)) ?

The value of (tan(84)+tan(36))/(1-tan(84)tan(36)) is -1.73205…

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(tan(84)+tan(36))/(1-tan(84)tan(36))

\frac{tan ( 8 4 ^{\circ} ) + tan ( 3 6 ^{\circ} )}{1 - tan ( 8 4 ^{\circ} ) tan ( 3 6 ^{\circ} )}

- 1.73205 \dots

Solution steps

\frac{tan ( 8 4 ^{\circ} ) + tan ( 3 6 ^{\circ} )}{1 - tan ( 8 4 ^{\circ} ) tan ( 3 6 ^{\circ} )}

Refine to a decimal form

= - 1.73205 \dots

sin (0.2854 + 1) - cos (0.2854)

sin (3 0^{\circ}) cos (4 5^{\circ}) - cos (3 0^{\circ}) sin (4 5^{\circ})

\frac{15}{sin ( 4 5 ^{\circ} )}

cos (arcsin (\frac{12}{13}) + arctan (\frac{3}{4}))

arctan (0.833)

What is the value of (tan(84)+tan(36))/(1-tan(84)tan(36)) ?
The value of (tan(84)+tan(36))/(1-tan(84)tan(36)) is -1.73205…