Complete the trigonometric functions for the triangle picture below

Question

(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Sin A = /

Tan C = / AB is 3 BC is 4 and CA is 5

Answer 1

To complete the trigonometric functions for the triangle with sides AB = 3, BC = 4, and CA = 5, we first need to determine the angles and the appropriate functions.

Given the sides:

• AB = 3 (let's call this side "a")
• BC = 4 (let's call this side "b")
• CA = 5 (let's call this side "c")

The angles can be identified based on the triangle formed.

Using the Sine Function

1. Sin A = Opposite / Hypotenuse
   • Angle A is opposite side BC (4).
   • Hypotenuse is side CA (5).
   • Thus, \[ \sin A = \frac{BC}{CA} = \frac{4}{5} \]

Using the Tangent Function

2. Tan C = Opposite / Adjacent
   • Angle C is opposite side AB (3).
   • Side BC (4) is adjacent to angle C.
   • Thus, \[ \tan C = \frac{AB}{BC} = \frac{3}{4} \]

Final Responses

• Sin A = 4/5
• Tan C = 3/4

Feel free to insert these responses into the desired inputs.