Question

2. The point (0.28, 0.96) lies on the unit circle. Which of the following is closest to the tangent of an angle
drawn in standard position whose terminal ray passes through this point?
(1) 3.43
(2) 1.73
(3) 0.29
(4) 0.42

Answer 1

Answer:

(1) 3.43

Step-by-step explanation:

tan θ = y / x

tan θ = 0.96 / 0.28

tan θ = 3.43

Answer 2

  Option (1) will be the correct option.

Terminal angle:

• Terminal angle is the angle formed between the initial side and the terminal side (As shown in the figure).

• Tangent of this angle is the ratio of opposite side and the adjacent  side.

         $\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}$

Given in the question,

• A point (0.28, 0.96) lies on the unit circle.

Terminal angle will be formed between the standard position and the terminal ray passing through the given point.

Hence, $\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(θ) = $\frac{PO}{OA}$

tan(θ) = $\frac{0.96}{0.28}$

tan(θ) = 3.43

      Therefore, Option (1) will be the correct option.

Learn more about the terminal angle here,

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