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TEA [102]
2 years ago
5

WILL GIVE BRAINLIEST

Mathematics
1 answer:
puteri [66]2 years ago
6 0

Step-by-step explanation:

{EF}^{2} =   {EG}^{2}   -  {FG}^{2}  \\  \\  =  {8}^{2}   -  {6}^{2}  \\  \\  = 64 - 36 \\  \\  = 28 \\  \\  \therefore \:  {EF} =  \sqrt{28}  \\  \\ \therefore \:  {EF} =  2\sqrt{7}  \\  \\  \sin \: E =  \frac{FG }{EG}  =  \frac{6}{8}  =  \frac{3}{4}  \\  \\   \huge\red {\boxed{\therefore \:  \sin \: E = \frac{3}{4}} } \\\sec \: G =  \frac{ EG}{FG}  =  \frac{8}{6}  =  \frac{4}{3}  \\  \\   \huge\purple {\boxed{ \therefore \: \sec \: G = \frac{4}{3}}} \\\\\cot \: G =  \frac{ FG}{EF}  =  \frac{6}{2\sqrt 7}  =   \frac{3}{\sqrt 7}  \\  \\  =   \frac{3\times\sqrt 7 }{\sqrt 7\times\sqrt 7 }  \\  \\  =   \frac{3\sqrt 7 }{ 7 }  \\  \\   \huge\orange {\boxed{ \therefore \: \cot \: G =  \frac{3\sqrt 7 }{ 7 } }} \\\\

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