Question

Estimate the values to complete the table.

Answer 1

Explanation:

For angle C,

cos(∠C) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}` = 0.97

sin(∠C) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}` = 0.26

tan(∠C) =
`\frac{\text{Adjacent side}}{\text{Adjacent side}}` = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

= sin(∠C)

= 0.26

sin(∠A) = sin(90 - ∠A)

= cos(∠A)

= 0.97

tan(∠A) =
`\frac{\text{sinA}}{\text{cosA}}=(0.97)/(0.26)`

= 3.73

Angle
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

A 0.26 0.97 3.73