Pada interval 90^circ lt xlt 270^circ nilai dari f(x)=tanx akan maksimum pada __

The maximum value of f(x)=tan(x) in the interval 90^°<x<270^° is achieved when x nearly equals 270^°.

The context of the question is mathematical, incorporating principles of trigonometry. The function f(x)=tan(x) is centric to the posed question.The range of x specified is between 90 degrees and 270 degrees. Within this range, the tan function is either positive or negative. It's interesting to note that cosine is negative within this interval whereas sine is positive within the first half (90-180 degrees) and negative in the second half. Tan(x) is obtained by dividing sine by cosine, but because the function goes to infinity becomes utterly undefined whenever the cosine of the angle equals zero at 90 degrees and 270 degrees, within these points, the function would present both a maximum and a minimum. In the context of 90 to 270 degrees, tan(x) is undefined at 90-background events, very large and negative put near the starting province, alters to becoming a negative around 180 and thereafter, moving to becoming a very large one just before the 270 margin and is once more undefined at 270.So within the span, maxima aplly where x approximates 270.