Evaluate the 6 trig functions given a triangle and constraint

The video tutorial covers the evaluation of trigonometric functions with constraints. It begins with an introduction to the basic trigonometric functions, focusing on opposite over hypotenuse. The tutorial then introduces constraints, specifically the condition where the sine of Theta is 2/5 and cotangent is greater than zero. It explains how to determine the appropriate quadrant for these conditions and applies the Pythagorean theorem to solve for triangle sides. Finally, it evaluates the six trigonometric functions, emphasizing the importance of understanding positive and negative values in different quadrants.

What is the significance of the constraint that cotangent of Theta must be greater than zero?

• It determines the length of the hypotenuse.

• It restricts the angle to specific quadrants.

• It changes the value of sine.

• It affects the type of triangle drawn.

Why is it important to consider the sign of the sides when solving for the missing side using the Pythagorean theorem?

• To ensure the triangle is a right triangle.

• To determine the correct quadrant for the angle.

• To avoid incorrect calculations of trigonometric functions.

• To simplify the expression for sine.

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

How do you rationalize the denominator of a fraction?

• Multiply by the conjugate of the numerator.

• Subtract the numerator from the denominator.

• Multiply by the conjugate of the denominator.

• Add the numerator and denominator.

Why is it important to write down the original expressions when evaluating trigonometric functions?

• To ensure the correct angle is used.

• To simplify the process of rationalizing the denominator.

• To verify the type of triangle used.

• To check the accuracy of the hypotenuse length.