Mathematical Concepts and Problem Solving

Mr. Rubenstein reviews math problems from the June 2008 Math B Regents exam. He covers solving a triangle problem using the law of cosines, calculating arc length with radians, understanding powers of i, finding roots of equations using sum and product formulas, and exploring symmetry in graphs. Each section provides detailed explanations and problem-solving techniques.

What is the main focus of Mr. Rubenstein's video tutorial?

• Discussion on literature

• Introduction to physics concepts

• Review of a history exam

• Review of a math exam

In the triangle problem, which mathematical concept is primarily used?

• Trigonometric Identities

• Pythagorean Theorem

• Law of Sines

• Law of Cosines

What is the angle given in the triangle problem?

• 90 degrees

• 120 degrees

• 45 degrees

• 60 degrees

How do you calculate the arc length of a circle when the angle is given in radians?

• s = 2 * pi * r

• s = r / theta

• s = theta * r

• s = theta / r

What is the radius of the circle in the arc length problem?

• 20

• 15

• 25

• 10

What is the value of i to the power of 0?

• -1

• i

• 1

• 0

What is the result of i squared?

• 0

• -1

• i

• 1

How do you determine the power of i for large exponents?

• Divide the exponent by 2

• Add 4 to the exponent

• Multiply the exponent by 4

• Divide the exponent by 4 and use the remainder

What is the sum of the roots for the quadratic equation discussed?

• 1

• 2

• 3

• 4

What is the product of the roots for the quadratic equation discussed?

• 4

• -3

• 3

• -4