Evaluate the six trigonometric functions given a point

The video tutorial explains how to solve a trigonometry problem by creating a triangle when a point is not on the unit circle. It covers plotting coordinates, forming right triangles, applying the Pythagorean theorem, and simplifying expressions. The process involves finding the sine of an angle by calculating the hypotenuse and rationalizing the denominator.

Why is it necessary to create a triangle when a point is not on the unit circle?

• To apply the Pythagorean theorem

• Because the unit circle has a radius of 1

• Because the unit circle has a radius of 2

• To find the terminal side of the angle

What is the first step in constructing a right triangle from a coordinate point?

• Calculate the sine of the angle

• Find the hypotenuse

• Create a perpendicular line to the x-axis

• Draw a line parallel to the y-axis

What is a central angle?

• An angle formed at the hypotenuse

• An angle formed at the y-axis

• An angle formed at the x-axis

• An angle formed at the origin

How do you simplify the expression for the hypotenuse in this context?

• By adding the square roots

• By subtracting the square roots

• By multiplying the square roots

• By breaking down the square number

What is the final step to find the sine of the angle?

• Add the opposite side

• Multiply by the hypotenuse

• Rationalize the denominator

• Divide by the hypotenuse