Given any point evaluate your six trig functions

The video tutorial explains how to determine the six trigonometric functions for given points not on the unit circle. It emphasizes the importance of drawing triangles to calculate these functions, especially when the hypotenuse is greater than one. The tutorial demonstrates using the Pythagorean theorem to find the hypotenuse and solve example problems. It concludes with a discussion on trigonometric ratios and their reciprocal properties.

Why is it important to draw a triangle when finding trigonometric functions for a point not on the unit circle?

• To determine the radius of the circle

• To visualize the point on the graph

• To calculate the hypotenuse and use it for trigonometric functions

• To find the exact coordinates of the point

What is the first step in using the Pythagorean theorem to find the hypotenuse of a triangle?

• Subtract the x coordinate from the y coordinate

• Multiply the x and y coordinates

• Square the x and y coordinates

• Add the x and y coordinates

If a triangle has sides of 8 and -15, what is the length of the hypotenuse?

• 15

• 17

• 23

• 289

Which of the following is the correct formula for calculating sine?

• Opposite over hypotenuse

• Hypotenuse over opposite

• Hypotenuse over adjacent

• Adjacent over hypotenuse

What is the reciprocal of the tangent function?

• Sine

• Cotangent

• Cosecant

• Secant