Trigonometric Functions in a 30-60-90 Triangle

What is the purpose of starting with an equilateral triangle in the context of a 30-60-90 triangle?

• To demonstrate the properties of a right triangle

• To find the perimeter of the triangle

• To establish a basis for the unit circle

• To calculate the area of the triangle

How is the 30-60-90 triangle derived from an equilateral triangle?

• By bisecting one of the angles

• By cutting the triangle into three equal parts

• By drawing a perpendicular from one vertex to the opposite side

• By extending one of the sides

Which theorem is used to calculate the long leg of the 30-60-90 triangle?

• Area formula

• Sine rule

• Cosine rule

• Pythagorean theorem

What is the sine of a 30-degree angle in a 30-60-90 triangle?

• √3/2

• 1/2

• √3

• 1

What is the cosine of a 30-degree angle in a 30-60-90 triangle?

• √3

• 1/2

• 1

• √3/2

What is the tangent of a 30-degree angle in a 30-60-90 triangle?

• 1

• 1/2

• √3/3

• √3

What is the sine of a 60-degree angle in a 30-60-90 triangle?

• 1/2

• 1

• √3/2

• √3

What is the cosine of a 60-degree angle in a 30-60-90 triangle?

• 1

• 1/2

• √3/2

• √3

What is the tangent of a 60-degree angle in a 30-60-90 triangle?

• 1

• √3/3

• √3

• 1/2

What is the cosecant of a 60-degree angle in a 30-60-90 triangle?

• √3/2

• 2/√3

• √3

• 2