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Answer 1 The coordinates of a point on the unit circle for a given angle $ \theta $ are given by:$ ( \cos(\theta), \sin(\theta) ) $For example, if $ \theta = \frac{\pi}{4} $:$ ( \cos(\frac{\pi}{4}), \sin(\frac{\pi}{4}) ) = ( \frac{\sqrt{2}}{2},...
$ that satisfy the equation $ an( heta) = 2 $" _builder_version="4.27.3" _module_preset="default" title_font="--et_global_heading_font|500|||||||" title_text_color="#375375" title_font_size="24px" title_line_height="1.6em" background_color="#FFFFFF"...
Answer 1 To find where the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ intersects the unit circle $x^2 + y^2 = 1$, we need to solve the system of equations:$ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 $$ x^2 + y^2 = 1 $First, substitute $y^2 = 1 -...
Answer 1 To determine the sine and cosine values of $ \frac{5\pi}{6} $, we refer to the unit circle.The angle $ \frac{5\pi}{6} $ is located in the second quadrant.In the second quadrant, sine is positive, and cosine is negative.The reference angle...
Answer 1 To find the sine and cosine of the angle $ \pi/3 $ using the unit circle, consider the angle that corresponds to $ \pi/3 $ radians (or 60 degrees).In the unit circle, the coordinates of the point on the circumference corresponding to the...
Answer 1 To find the coordinates of the point where the terminal side of the angle intersects the unit circle at an angle of $\frac{5\pi}{4}$ radians, we use the unit circle properties. The angle $\frac{5\pi}{4}$ radians is in the third quadrant...