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Leokris [45]
2 years ago
5

Help me fast plzzzzzzzzzzz

Mathematics
1 answer:
mario62 [17]2 years ago
5 0

this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!

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What are all the exact solutions of -3tan^2(x)+1=0? Give your answer in radians.
goldenfox [79]
   
\displaystyle\\
 -3\tan^2x + 1 = 0\\\\
 -3\tan^2x = -1\\\\
\tan^2x =  \frac{-1}{-3} \\\\
\tan^2x =  \frac{1}{3} ~~~~~ \Big|~\sqrt{~~~} \\\\
\sqrt{\tan^2x} =  \sqrt{\frac{1}{3}} \\\\
\tan x = \Big| \frac{1}{ \sqrt{3} } \Big|\\\\
\tan x = \Big| \frac{\sqrt{3}}{ 3 } \Big|\\\\
\tan x =  \frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_1=  \frac{\pi}{6} + k\pi,~~k \in N \\\\  
\tan x =  -\frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_2=  \pi-\frac{\pi}{6} + k\pi = \frac{5\pi}{6} + k\pi,~~k \in N \\\\  




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