Cosecant Reciprocal Math

The cosecant is the reciprocal of the sine.

Cosecant reciprocal math. For every trigonometry function such as csc there is an inverse function that works in reverse. The cotangent function is the reciprocal of the tangent function. So the reciprocal of cosecant of angle is equals to sin of angle. δqp r δ q p r is a right triangle and the angle of this triangle is theta.

These inverse functions have the same name but with arc in front. Cosecant θ is the reciprocal of sine θ secant θ is the reciprocal of cosine θ and cotangent θ is the reciprocal of tangent θ we usually write these in short form as csc θ sec θ and cot θ. Three trigonometric ratios secant cosecant and cotangent are called reciprocal functions because they re the reciprocals of sine cosine and tangent. The following diagram shows the reciprocal trigonometric functions.

In some textbooks csc is written as cosec. The following list breaks down these functions and how you use them. So the inverse of csc is arccsc etc. The cosecant function is the reciprocal of the sine function.

Cosecant can be derived as the reciprocal of sine. When we see arccsc a we interpret it as the angle whose cosecant is a. The inverse cosecant function arccsc. The abbreviation of cosecant is csc or cosec.

The sine function is the opposite side divided by the. The cosecant and sine functions are reciprocals mutually. Cosecant is a ratio of lengths of hypotenuse to opposite side and the sine is a ratio of lengths of opposite side to hypotenuse. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

The abbreviation of cotangent is cot. The cosecant function is the reciprocal of the sine function.