Question

Using the image as a reference, what is the csc of angle 90 - x?

Answer 1

Option (F)

Explanation:

From the figure attached,

ΔABC is a right triangle.

m∠A + m∠B + m∠C = 180°

m∠A + 90° + x° = 180°

m∠A = 180 - (90 + x)

= (90 - x)°

By applying cosec rule in this triangle,

csc(A) =
`\frac{\text{Hypotenuse}}{\text{Opposite side}}`

csc(90 - x) =
`\frac{\text{AC}}{\text{BC}}`

=
`(5)/(3)`

= 1.67

Therefore, Option (F) will be the correct option.