Because of the symmetry of the circle, the four points form a rectangle ABCD as shown above. The four angles have the same reference angle equal to ?. To each angle corresponds a point ( A, B, C or D) on the unit circle. Identities due to Symmetry of the Unit Circle on the origin, x and y axesįour angles ( ?, ? - ?, ? + ? and 2? - ?) are shown below in a unit circle. It will be shown how the use of these symmetries allows us to write several identities in trigonometry. We are interested here on the symmetries with respect to its center, the x-axis, the y-axis an the line y = x. How to use the unit circle to find properties and trigonometric identities of the sine andĬosine functions? Grade 11 trigonometry questions are presented along with detailed solutions and explanations.Ī circle has an infinite number of symmetries with respects to lines through the center and a symmetry with respect to its center. Trigonometric Identities and the Unit Circle - Questions With Solutions Trigonometric Identities and the Unit Circle
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