Using a 45 45 90 triangle evaluate trig functions

What is the significance of a 45-45-90 triangle in geometry?

• It helps in understanding the properties of circles.

• It is used to calculate the area of a square.

• It is used to derive coordinate points and functions.

• It is a type of equilateral triangle.

How do you calculate the hypotenuse of a 45-45-90 triangle using the Pythagorean theorem?

• By adding the squares of the two equal sides.

• By dividing the square of one side by two.

• By subtracting the squares of the two equal sides.

• By multiplying the two equal sides.

What is the radius of the unit circle?

• 2

• 1

• sqrt(2)

• 0.5

In a 45-45-90 triangle, what is the value of each side if the hypotenuse is 1?

• 1

• sqrt(2)/2

• 1/2

• sqrt(3)/2

What is the cotangent of a 45-degree angle?

• sqrt(2)

• 0

• 1/sqrt(2)

• 1

How is the cosecant function related to the sine function?

• Cosecant is the reciprocal of sine.

• Cosecant is the square of sine.

• Cosecant is the inverse of sine.

• Cosecant is the derivative of sine.

What should you do when given a 30-60-90 triangle?

• Construct an equilateral triangle.

• Construct a right triangle with equal sides.

• Construct a 30-60-90 triangle.

• Construct a 45-45-90 triangle.