What is the value of (tan(106)+tan(-61))/(1-tan(106)tan(-61)) ?

The value of (tan(106)+tan(-61))/(1-tan(106)tan(-61)) is 1

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(tan(106)+tan(-61))/(1-tan(106)tan(-61))

\frac{tan ( 10 6 ^{\circ} ) + tan ( - 6 1 ^{\circ} )}{1 - tan ( 10 6 ^{\circ} ) tan ( - 6 1 ^{\circ} )}

1

Solution steps

\frac{tan ( 10 6 ^{\circ} ) + tan ( - 6 1 ^{\circ} )}{1 - tan ( 10 6 ^{\circ} ) tan ( - 6 1 ^{\circ} )}

Refine to a decimal form

= 1

- csc^{2} (\frac{7 π}{6})

sin^{2} (6 0^{\circ}) + tan^{2} (6 0^{\circ}) - csc^{2} (3 0^{\circ})

(875)^{3} - sin (87 5^{\circ})

\frac{sin ( \frac{π}{6} )}{cos ( \frac{π}{6} )}

cos (arccos (\frac{π}{2}))

What is the value of (tan(106)+tan(-61))/(1-tan(106)tan(-61)) ?
The value of (tan(106)+tan(-61))/(1-tan(106)tan(-61)) is 1