Answer
a. sine -- ii. cosecant
b. cosine -- iii. secant
c. tangent -- i. cotangent
Work Step by Step
Finding reciprocals-
$\sin\theta$ = $\frac{y}{r}$ = $\frac{1}{r/y}$ = $\frac{1}{\csc\theta}$
$\cos\theta$ = $\frac{x}{r}$ = $\frac{1}{r/x}$ = $\frac{1}{\sec\theta}$
$\tan\theta$ = $\frac{y}{x}$ = $\frac{1}{x/y}$ = $\frac{1}{\cot\theta}$
