Solve for x tan(x)=875/350

Problem

tan(x)=875/350

Solution

1. Simplify the fraction on the right side of the equation by dividing both the numerator and the denominator by their greatest common divisor, which is 175.

875/350=5/2

2. Rewrite the equation using the simplified fraction.

tan(x)=2.5

3. Apply the inverse tangent function to both sides to isolate the variable x

x=arctan(2.5)

4. Calculate the numerical value for x in both radians and degrees.

x≈1.19028* radians

x≈68.19859

Final Answer

tan(x)=875/350⇒x=arctan(2.5)+n*π

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