Set up your triangle three different ways to evaluate six trig functions

The video tutorial reviews trigonometric functions and their application in right triangles. It covers solving trigonometric equations, applying constraints, and understanding the impact of different quadrants on the signs of trigonometric functions. The tutorial emphasizes the importance of constraints in determining the correct signs and values of trigonometric functions.

What is the sine function in terms of a right triangle?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

• Opposite over hypotenuse

If you know two sides of a right triangle, which theorem can you use to find the third side?

• Cosine rule

• Pythagorean theorem

• Tangent rule

• Sine rule

What must you understand before creating a triangle from a trigonometric equation?

• The area of the triangle

• The length of the hypotenuse

• The trigonometric functions

• The angle of elevation

What does the cosecant function represent in a triangle?

• Adjacent over opposite

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

How do constraints affect the orientation of triangles in trigonometric problems?

• They change the type of triangle

• They dictate the color of the triangle

• They determine the size of the triangle

• They affect the orientation and properties of the triangle

In which quadrants is the cotangent function negative?

• First and second

• Second and fourth

• First and third

• Third and fourth

What is the significance of the hypotenuse in a triangle with constraints?

• It is always the longest side

• It is always negative

• It represents a maximum distance and is always positive

• It is always zero

If sine of Theta is greater than zero, in which quadrants can the triangle be?

• First and fourth

• First and second

• Second and third

• Third and fourth

What does a constraint specifying Theta between π and 3π/2 indicate about the triangle's quadrant?

• Fourth quadrant

• First quadrant

• Second quadrant

• Third quadrant

Why is it important to understand constraints when solving trigonometric problems?

• To calculate the perimeter of the triangle

• To find the area of the triangle

• To ensure the correct sign of trigonometric values

• To determine the color of the triangle