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bonufazy [111]
3 years ago
11

Why is the answer negative?

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Step-by-step explanation:

cos \: x =  \frac{3}{5}  =  \frac{x}{y}  \\  \implies \: x = 3 \:  \: and \:  \: r = 5 \\    \because \:  {y}  =   \pm\sqrt{ {r}^{2} -  {x}^{2}  }  \\  =  \pm\sqrt{ {5}^{2}  -  {3}^{2} }  \\  =  \pm\sqrt{25 - 9}  \\  = \pm \sqrt{16}  \\ \therefore \: y  = \pm4 \\  \because \: x \: lies \: in \:  {4}^{th}  \: quadrant \\ \therefore \: y  = - 4 \\  \\ \because \: sin \: x  = \frac{y}{r}  \\  \\ \huge \red{ \boxed{ \therefore \: sin \: x  = \frac{ - 4}{5}}}  \\  \\ \because \: tan \: x  = \frac{y}{x}  \\  \\  \huge \purple{ \boxed{\therefore \: tan \: x  = \frac{ - 4}{3} }}

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