What is expand tan(15) ?

The solution to expand tan(15) is 2-sqrt(3)

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Expand Using Sum/Difference Formulas tan(15)

expand

tan (1 5^{\circ})

2 - 3

Decimal Notation

0.26794 \dots

Solution steps

tan (1 5^{\circ})

Rewrite using trig identities:

\frac{tan ( 4 5 ^{\circ} ) - tan ( 3 0 ^{\circ} )}{1 + tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

= \frac{tan ( 4 5 ^{\circ} ) - tan ( 3 0 ^{\circ} )}{1 + tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

Use the following trivial identity:

tan (4 5^{\circ}) = 1

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

= \frac{1 - \frac{3}{3}}{1 + 1 \cdot \frac{3}{3}}

Simplify

\frac{1 - \frac{3}{3}}{1 + 1 \cdot \frac{3}{3}} : 2 - 3

= 2 - 3

12.5%

35/7

x, 6 x = 3

t, \frac{8}{( t - 7 )} = 3 - \frac{4}{( t - 7 )}

\frac{( cos ( θ ) )}{( sin ( θ ) )}