The reciprocal trigonometric functions are cosecant (csc), secant (sec), and cotangent (cot).

1. Cosecant (csc): The cosecant function is an odd function because it satisfies the property csc(-x) = -csc(x).

2. Secant (sec): The secant function is an even function because it satisfies the property sec(-x) = sec(x).

3. Cotangent (cot): The cotangent function is an odd function because it satisfies the property cot(-x) = -cot(x).

So, the corresponding equations are:

1. For cosecant: csc(-x) = -csc(x)
2. For secant: sec(-x) = sec(x)
3. For cotangent: cot(-x) = -cot(x)

Question

The reciprocal trigonometric functions are cosecant (csc), secant (sec), and cotangent (cot).

1. Cosecant (csc): The cosecant function is an odd function because it satisfies the property csc(-x) = -csc(x).

2. Secant (sec): The secant function is an even function because it satisfies the property sec(-x) = sec(x).

3. Cotangent (cot): The cotangent function is an odd function because it satisfies the property cot(-x) = -cot(x).

So, the corresponding equations are:

1. For cosecant: csc(-x) = -csc(x)
2. For secant: sec(-x) = sec(x)
3. For cotangent: cot(-x) = -cot(x)

Knowee AI · Accepted Answer

The reciprocal trigonometric functions are cosecant (csc), secant (sec), and cotangent (cot).

1. Cosecant (csc): The cosecant function is an odd function because it satisfies the property csc(-x) = -csc(x).

2. Secant (sec): The secant function is an even function because it satisfies the property sec(-x) = sec(x).

3. Cotangent (cot): The cotangent function is an odd function because it satisfies the property cot(-x) = -cot(x).

So, the corresponding equations are:

1. For cosecant: csc(-x) = -csc(x)
2. For secant: sec(-x) = sec(x)
3. For cotangent: cot(-x) = -cot(x)

Classify the reciprocal trigonometric functions as odd or even, andthen write the corresponding equation