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gulaghasi [49]
3 years ago
11

If sin x = 1/4 and pi < x < 3pi/2 , find tan x exactly

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

\sin(x)  =  \frac{1}{4}  \\  { \sin }^{2} x =  \frac{1}{16}  \\  { \cos } x =  \sqrt{1 -  { \sin }^{2}x }  \\  \cos(x)  =  \sqrt{1 -  \frac{1}{16} }  \\  \cos(x)  =  \sqrt{ \frac{15}{16} }  \\  \tan(x)  =  \frac{ \sin(x) }{ \cos(x) }  \\  \tan(x)  =  \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } }  \\  \tan(x)  = 0.258

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