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Trigonometric Ratios For Angles Up To 180. The ratio of the length of a side of a triangle to the sine of its opposite angle is constant. You could work out the third angle (from the fact that all triangles' angles sum to 180°), but you'd never be able to work out the side lengths.
These angles can also be represented in the form of radians such as these angles are most commonly and frequently used in trigonometry.
Problems on trigonometric ratio of standard angle. We use trigonometric identities to connote compound angles through. The steps are the same as we could simply use the fact that the angles of a triangle add up to 180° to find the last angle. This complementary behavior of trigonometric ratios has a wide range of applications, as the following examples will show.
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