stephany112
Answered

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Evaluate tan look at picture please 21 and 21 please

Evaluate Tan Look At Picture Please 21 And 21 Please class=

Sagot :

bhadelsimron19

Answer:

none of these

Step-by-step explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/[tex]\sqrt{3[/tex])

1/[tex]\sqrt{3[/tex]

Step-by-step explanation:

[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]

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

[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\

\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\

= \frac{\sqrt{3} }{ 3 } [/tex]

option 4.

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

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