Question

Triangles ABC and DEF are shown above. Write ratio equal to BC/AB.

Which trigonometric ratio does this represent?

Answer 1

Explanation:

From the picture attached,

From ΔABC,

m∠B = 180° - (m∠C + m∠A)

= 180° - (90° + 32°)

= 180° - 122°

= 38°

Now we have to find the trigonometric ratio of BC and AB from ΔABC,

Since, sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(32°) =
`(BC)/(AB)`

`(BC)/(AB)=0.53`

Therefore, ratio of BC and AB represents the "sine of angle A".