Understanding Trigonometric Functions in a 45-45-90 Triangle

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

• It is used to find trigonometric functions for 30-degree angles.

• It is a special right triangle with equal legs.

• It is an equilateral triangle.

• It is a scalene triangle.

Why is the hypotenuse of the triangle set to 1 in this context?

• To simplify calculations.

• To match the length of the legs.

• To relate it to the unit circle.

• To make it an equilateral triangle.

What theorem is used to find the length of the sides in a 45-45-90 triangle?

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

• Triangle Inequality Theorem

What is the length of each leg in a 45-45-90 triangle if the hypotenuse is 1?

• √2/2

• √2

• 1/2

• 1

What is the sine of a 45-degree angle in a 45-45-90 triangle?

• √3/2

• 1/2

• √2/2

• 1

How does the cosine of a 45-degree angle compare to its sine in a 45-45-90 triangle?

• Cosine is zero.

• Cosine is equal to sine.

• Cosine is less than sine.

• Cosine is greater than sine.

What is the tangent of a 45-degree angle in a 45-45-90 triangle?

• 0

• 1

• √2

• √3

What is the cosecant of a 45-degree angle in a 45-45-90 triangle?

• √2

• 1

• 2

• 1/√2

What is the secant of a 45-degree angle in a 45-45-90 triangle?

• 1/√2

• 1

• √2

• 2

What is the cotangent of a 45-degree angle in a 45-45-90 triangle?

• 0

• √2

• √3

• 1