Given a point find the six trigonometric functions of the angle

The video tutorial explains how to evaluate six trigonometric functions using a given point. It covers creating a triangle from the point, using the Pythagorean theorem to find the hypotenuse, and calculating sine, cosine, and tangent values. The tutorial also discusses rationalizing the denominator and evaluating reciprocal functions like cosecant, secant, and cotangent.

What is the advantage of having a point on the unit circle when evaluating trigonometric functions?

• The point is always at the origin.

• The angle is always 90 degrees.

• The hypotenuse is always 1, simplifying calculations.

• The coordinates are always positive.

When creating a triangle from a point, what is the central angle?

• The angle between the two legs of the triangle.

• The angle between the hypotenuse and the Y-axis.

• The angle at the origin formed with the X-axis.

• The angle at the point itself.

Why is the Pythagorean theorem used in this context?

• To find the midpoint of the hypotenuse.

• To find the length of the hypotenuse.

• To determine the angle of the triangle.

• To calculate the area of the triangle.

What is the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over hypotenuse

• Hypotenuse over opposite

How do you rationalize the denominator of a trigonometric function?

• Multiply the numerator and denominator by the same square root.

• Add the square root to both the numerator and denominator.

• Subtract the square root from the denominator.

• Divide the numerator by the square root.

What is the reciprocal of the sine function called?

• Secant

• Cotangent

• Cosecant

• Tangent

What is the cotangent of an angle in terms of the sides of a triangle?

• Hypotenuse over adjacent

• Opposite over adjacent

• Adjacent over opposite

• Hypotenuse over opposite