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Use the trigonometric relations and identities.
Trigonometric identities are trigonometric equations that are always true.
They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.