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1. What are the six trigonometric ratios?
Ans. The six trigonometric ratios are sine, cosine, tangent, cosecant, secant, and cotangent. These ratios are derived from the sides of a right triangle and are used to relate the angles with the lengths of the sides.
2. How are trigonometric functions defined for non-right angles?
Ans. Trigonometric functions can be defined for non-right angles using the unit circle. For a given angle, the trigonometric functions are defined as the ratios of the coordinates of the point on the unit circle corresponding to that angle.
3. How are trigonometric functions related to each other?
Ans. Trigonometric functions are related to each other through various identities and reciprocal relationships. For example, sine and cosine are reciprocals of each other, tangent is the ratio of sine to cosine, and cotangent is the reciprocal of tangent.
4. What are the properties of trigonometric functions?
Ans. Trigonometric functions have several properties, including periodicity, symmetry, and even-odd properties. They also have specific ranges and domains, which determine the values they can take.
5. How are trigonometric equations solved?
Ans. Trigonometric equations can be solved by using various techniques, such as factoring, substitution, or applying trigonometric identities. The solutions are usually found within a specific interval or range, depending on the given problem.
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