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Marat540 [252]
3 years ago
7

Please help me with this question helel

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

\frac{1}{2}

Step-by-step explanation:

Given

tan x = \sqrt{3}, then

x = tan^{-1}(\sqrt{3} ) = 60° ← related acute angle

Since 180° < x < 270° and tan x > 0 then x is in third quadrant

x = 180° + 60° = 240°

and

sin(x - 210)°

= sin(240 - 210)°

= sin30°

= \frac{1}{2}

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