Problemas
Given the following point on the unit circle, find the angle,to the nearest tenth necessary), of the terminal side through that point, 0^circ leqslant Theta lt 360^circ P=((sqrt (19))/(5),(sqrt (6))/(5)) Answer Attempt Lout of a
Roztwór
Carlos
maestro · Tutor durante 5 años
4.3
(189 Votos)
Respuesta
To find the angle
corresponding to the point
on the unit circle, we can use the inverse tangent function.Step 1: Calculate the tangent of the angle
.The tangent of an angle in the unit circle is given by the ratio of the y-coordinate to the x-coordinate. So, we have:
Step 2: Use the inverse tangent function to find the angle
.The inverse tangent function, also known as arctan or
, gives the angle whose tangent is a given value. So, we have:
Step 3: Calculate the value of
.Using a calculator, we can find the value of
:
Therefore, the angle
corresponding to the point
on the unit circle is approximately
.