Question

Estimate the values to complete the table.

Answer 1

Answer:

Step-by-step 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) = $\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}$

            = 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