Question

Describe how the cosecant, secant and cotangent are related to the first three trigonometric functions learned.

Answer 1

Answer:

Cosecant, secant and cotangent are the reciprocals of sine, cosine and tangent.

Step-by-step explanation:

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

Answer 2

$\bf \underline{sin(\theta)}=\cfrac{1}{csc(\theta)} \qquad % cosine \underline{cos(\theta)}=\cfrac{1}{sec(\theta)} \qquad % tangent tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \\\\\\ % cotangent csc(\theta)=\cfrac{1}{\underline{sin(\theta)}} \qquad % secant sec(\theta)=\cfrac{1}{\underline{cos(\theta)}}\qquad \begin{array}{llll} cot(\theta) \begin{cases} \cfrac{cos(\theta)}{sin(\theta)}\\\\ \cfrac{1}{tan(\theta )} \end{cases} \end{array}$