Find sin θ and cos θ where θ is the angle that corresponds to the point p (5,12)

Check the picture below.

The answer to your question is:

sin Ф = 12/13

cos Ф = 5/13

Step-by-step explanation:

Data

Point (5,12)

sin Ф = ?

cos Ф = ?

Process

1.- Plot the point, and draw a right triangle from the points (0, 0), (5, 0) and (5, 12). See the picture below.

2.- Calculate the hypotenuse.

3.- Calculate sin Ф  and cos Ф.

                              c² = 5² + 12²

                              c² = 25 + 144

                              c² = 169

                              c = 13

sin Ф = opposite side/ hypotenuse = 12/13

cos Ф = adjacent side/ hypotenuse = 5/13

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