SOLUTION: Find all six trignometric functions of 𝜃 if the given point is on the terminal side of 𝜃. (If an answer is undefined, enter UNDEFINED.) (6, 8)

Question 1209512: Find all six trignometric functions of 𝜃 if the given point is on the terminal side of 𝜃. (If an answer is undefined, enter UNDEFINED.)
(6, 8)

Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
You did not provide the point. I need the coordinates of the point to calculate the trigonometric functions. However, I can show you the process with a general example.
**Example:**
Let's say the given point is (3, -4).
1. **Find 'r' (the distance from the origin to the point):**
r = √(x² + y²)
r = √(3² + (-4)²)
r = √(9 + 16)
r = √25
r = 5
2. **Calculate the Trigonometric Functions:**
* **Sine (sin θ):** y/r = -4/5
* **Cosine (cos θ):** x/r = 3/5
* **Tangent (tan θ):** y/x = -4/3
* **Cosecant (csc θ):** r/y = -5/4
* **Secant (sec θ):** r/x = 5/3
* **Cotangent (cot θ):** x/y = -3/4
**General Process:**
If you are given a point (x, y):
1. **Calculate r:** r = √(x² + y²)
2. **Calculate the functions:**
* sin θ = y/r
* cos θ = x/r
* tan θ = y/x (undefined if x = 0)
* csc θ = r/y (undefined if y = 0)
* sec θ = r/x (undefined if x = 0)
* cot θ = x/y (undefined if y = 0)
**Provide the point, and I will calculate the trigonometric functions for you.**

RELATED QUESTIONS
Find all six trigonometric functions of θ if the given point is on the terminal side (answered by Alan3354,HelloWOrld_iAmcoMing )

Find all six trigonometric functions of θ if the point (-15, 36) is on the terminal... (answered by Alan3354)

If (-12,5) is a point on the terminal side of the angle 0, find all six trigonometric... (answered by lwsshak3)

If (4,-3) is a point on the terminal side of an angle theta in standard position,... (answered by stanbon)

If (-2,-5) is a point on the terminal side of an angle theta in standard... (answered by lwsshak3)

hello i need help. Find the six trigonometric functions of theta if the given point is on (answered by stanbon)

If point P is on the terminal side of \theta, find all 6 trig functions. Draw a picture. (answered by Fombitz)

Given point(1,-2) on the terminal side of an angle in standard form. Find the six trig... (answered by stanbon)

Find the exact value of each of the six trigonometric functions of theta, if (7,-7) is a... (answered by josgarithmetic)