Question

Express the trigonometric ratio cose in terms of sine.

A) cose = 1/sin
B) cose = sin
C) cose = sin^2
D) cose = sin^-1

Answer 1

The trigonometric ratio cosecant is the reciprocal of the sine function, correctly expressed as cosec = 1/sin.

Step-by-step explanation:

The trigonometric ratio cosecant (cosec or csc) is expressed in terms of sine as the reciprocal of the sine function. If you refer to the right triangle definitions of these functions, sine (sin) is the ratio of the opposite side to the hypotenuse, and cosecant is the ratio of the hypotenuse to the opposite side. Therefore, cosecant is inversely related to sine, which can be mathematically represented as:

cosec = 1/sin

Given the options provided, the correct answer is:

A) cose = 1/sin