Question

In ANOP, the measure of ZP=90°, NP = 16, ON = 65, and PO = 63. What ratio

represents the cosecant of angle N?

Answer 1

65/63

Explanation:

Cosecant is the inverse of sine. Given the triangle NOP with <P = 90° and NP = 16, ON = 65, and PO = 63

Considering the angle N using the notation

SOH

where O is the opposite side and H is the hypotenuse

The opposite side of the triangle is PO = 63 while the hypotenuse side is ON = 65

hence

Sine N = 63/65

since Cosecant N = 1/Sine N

Cosecant N = 65/63