What is the value of tan(sin(-(sqrt(5))/3)) ?

The value of tan(sin(-(sqrt(5))/3)) is -tan(sin((sqrt(5))/3))

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tan(sin(-(sqrt(5))/3))

tan (sin (- \frac{5}{3}))

- tan (sin (\frac{5}{3}))

Solution steps

tan (sin (- \frac{5}{3}))

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{5}{3}) = - sin (\frac{5}{3})

= tan (- sin (\frac{5}{3}))

Use the following property:

tan (- x) = - tan (x)

tan (- sin (\frac{5}{3})) = - tan (sin (\frac{5}{3}))

= - tan (sin (\frac{5}{3}))

tan (\frac{π}{6}) + sin (\frac{5 π}{3}) \cdot cos (- \frac{3 π}{4})

sec (53.1 3^{\circ})

arctan (\frac{7}{14})

\frac{8}{cos ( 6 5 ^{\circ} )}

sin (1 - \frac{π}{2})

What is the value of tan(sin(-(sqrt(5))/3)) ?
The value of tan(sin(-(sqrt(5))/3)) is -tan(sin((sqrt(5))/3))