Question

Csc A - sin A = A. (cos^2A) / (sinA) B. (1 - sinA) / (sinA) C. (1 - sinA) / (cosA)

Answer 1

Answer:

1st option

Step-by-step explanation:

Using the identities

csc x = $\frac{1}{sinx}$

sin² x + cos²x = 1 ⇒ cos²x = 1 - sin²x

then

csc A - sinA

= $\frac{1}{sinA}$ - sinA

= $\frac{1-sin^2A}{sinA}$

= $\frac{cos^2A}{sinA}$

Answer 2

Answer:

A) $\frac{cos^2A}{sinA}$

Step-by-step explanation:

$cscA-sinA\\\\\frac{1}{sinA}-sinA\\ \\\frac{1}{sinA}-\frac{sin^2A}{sinA}\\ \\ \frac{1-sin^2A}{sinA}\\ \\\frac{cos^2A}{sinA}$