Problemas
Evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined. tan(pi )/(2) Select the correct choice below and, if necessary fill in the answer box to complete your choice. A tan(pi )/(2)=square B. The expression is undefined
Roztwór
Irma
élite · Tutor durante 8 años
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(226 Votos)
Respuesta
To evaluate the trigonometric function
, we need to understand the unit circle and the definition of the tangent function.The unit circle is a circle with a radius of 1, centered at the origin of a coordinate system. The tangent function is defined as the ratio of the y-coordinate to the x-coordinate of a point on the unit circle.Now, let's consider the angle
radians. This angle corresponds to 90 degrees, which is a quadrantal angle. At this angle, the point on the unit circle is (0, 1).Since the tangent function is defined as the ratio of the y-coordinate to the x-coordinate, and the x-coordinate at
radians is 0, the expression
is undefined.Therefore, the correct choice is B. The expression is undefined.