Question

Evaluate tan look at picture please 21 and 21 please

Answer 1

none of these

Explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/
`\sqrt{3`)

1/
`\sqrt{3`

Answer 2

Explanation:

`\tan( (7\pi)/(6) ) \\ = \tan( \pi + (\pi)/( 6) ) \\ = \tan( (\pi)/(6) )`

as this angle lies in the third quadrant and tan x is positive in the third quad.

`= (1)/( √(3) ) \\ as \: the \: value \: of \: \tan( (\pi)/(6) ) = (1)/( √(3) ) \\</p><p></p><p>(1)/( √(3) ) ×(√(3))/( √(3) )\\</p><p>= (√(3) )/( 3 )`

option 4.

as when u multiply both the numerator and denominator by root 3 u get the desired result