Use the form atan(bx−c)+ d a tan ( b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. a = 1 a = 1 b = 1 b = 1 c = π 2 c = π 2 d = 0 d = 0 Since the
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The standard period of a tangent function is radians. In other words, it completes its entire cycle of values in that many radians. To alter the period of the function, you need to alter the value of
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Set the inside of the tangent function x x equal to π 2 π 2. x = π 2 x = π 2. The basic period for y = tan(x) y = tan ( x) will occur at (−π 2, π 2) ( - π 2, π 2), where − π 2 - π 2 and π 2 π 2 are vertical
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Remembering the period formulas for the tangent function, the period is found by dividing pi by the absolute value of the B value, in this case, 2. So, for this tangent trig function, the period
