document.write( "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.)
\n" );
document.write( "(6, 8)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #849058 by CPhill(1987) 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.\r \n" ); document.write( "\n" ); document.write( "**Example:**\r \n" ); document.write( "\n" ); document.write( "Let's say the given point is (3, -4).\r \n" ); document.write( "\n" ); document.write( "1. **Find 'r' (the distance from the origin to the point):**\r \n" ); document.write( "\n" ); document.write( " r = √(x² + y²) \n" ); document.write( " r = √(3² + (-4)²) \n" ); document.write( " r = √(9 + 16) \n" ); document.write( " r = √25 \n" ); document.write( " r = 5\r \n" ); document.write( "\n" ); document.write( "2. **Calculate the Trigonometric Functions:**\r \n" ); document.write( "\n" ); document.write( " * **Sine (sin θ):** y/r = -4/5 \n" ); document.write( " * **Cosine (cos θ):** x/r = 3/5 \n" ); document.write( " * **Tangent (tan θ):** y/x = -4/3 \n" ); document.write( " * **Cosecant (csc θ):** r/y = -5/4 \n" ); document.write( " * **Secant (sec θ):** r/x = 5/3 \n" ); document.write( " * **Cotangent (cot θ):** x/y = -3/4\r \n" ); document.write( "\n" ); document.write( "**General Process:**\r \n" ); document.write( "\n" ); document.write( "If you are given a point (x, y):\r \n" ); document.write( "\n" ); document.write( "1. **Calculate r:** r = √(x² + y²) \n" ); document.write( "2. **Calculate the functions:** \n" ); document.write( " * sin θ = y/r \n" ); document.write( " * cos θ = x/r \n" ); document.write( " * tan θ = y/x (undefined if x = 0) \n" ); document.write( " * csc θ = r/y (undefined if y = 0) \n" ); document.write( " * sec θ = r/x (undefined if x = 0) \n" ); document.write( " * cot θ = x/y (undefined if y = 0)\r \n" ); document.write( "\n" ); document.write( "**Provide the point, and I will calculate the trigonometric functions for you.** \n" ); document.write( " \n" ); document.write( " |