What is the general solution for arctan(x)=(2.73)/(7.5) ?

The general solution for arctan(x)=(2.73)/(7.5) is x=tan(91/250)

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arctan(x)=(2.73)/(7.5)

arctan (x) = \frac{2.73}{7.5}

x = tan (\frac{91}{250})

Solution steps

arctan (x) = \frac{2.73}{7.5}

Apply trig inverse properties

arctan (x) = \frac{2.73}{7.5}

arctan (x) = a \Rightarrow x = tan (a)

x = tan (\frac{2.73}{7.5})

tan (\frac{2.73}{7.5}) = tan (\frac{\frac{273}{100}}{\frac{15}{2}})

tan (\frac{2.73}{7.5})

x = tan (\frac{\frac{273}{100}}{\frac{15}{2}})

x = tan (\frac{\frac{273}{100}}{\frac{15}{2}})

tan (\frac{\frac{273}{100}}{\frac{15}{2}}) = tan (\frac{91}{250})

tan (\frac{\frac{273}{100}}{\frac{15}{2}})

= tan (\frac{91}{250})

x = tan (\frac{91}{250})

y, sin (x) + cos (y) = ln (x)

- 8 csc^{2} (x) - 4 cot (x) = - 12

2 cos (2 x) + 43 sin (x) = 5

sin (2 x) + 2 cos^{2} (x) = 0

sin (x) = - (\frac{1}{2})

What is the general solution for arctan(x)=(2.73)/(7.5) ?
The general solution for arctan(x)=(2.73)/(7.5) is x=tan(91/250)