Exploring Sines and Cosines Review

The video tutorial covers the Law of Sines and the Law of Cosines, providing detailed explanations and examples for each. The teacher guides students through the process of identifying when to use each law based on given triangle information. The lesson includes practical examples to solve for unknown angles and sides, emphasizing the importance of understanding the relationships between angles and sides in triangles. Students are encouraged to take notes and will have a worksheet to complete, reinforcing the concepts learned.

What should you do if you need the video to be paused?

• Leave the class

• Pause it yourself

• Ask the teacher to pause it

• Skip the part you didn't understand

What is required to use the Law of Sines effectively?

• Two angles and one side

• An angle and its opposite side

• Three sides of the triangle

• Two sides and the included angle

According to the Law of Cosines, what is the formula to find the square of side c?

• c^2 = a^2 + b^2 - 2ab cos(C)

• c^2 = a^2 + b^2 + 2ab cos(C)

• c = a + b - 2ab cos(C)

• c = sqrt(a^2 + b^2 - 2ab cos(C))

When should you use the Law of Cosines over the Law of Sines?

• When you have three sides and need to find an angle

• When you have one side and two angles

• When you have two angles and one side

• When you have two sides and the included angle

What is the correct step to solve for side c using the Law of Cosines?

• Multiply the sides by the cosine of the included angle

• Add the squares of the two sides and subtract the product of the sides and cosine of the included angle

• Subtract the cosine of the included angle from the sum of the squares of the two sides

• Divide the sum of the squares by the cosine of the included angle

How do you solve for an angle using the Law of Sines?

• Multiply the sines of the known sides

• Divide the sine of the known side by the sine of the unknown angle

• Add the sines of the known angles

• Cross multiply and solve for the angle

What is the next step after finding the cosine of an angle in the Law of Cosines?

• Take the square root of the result

• Multiply by the side length

• Use the inverse cosine to find the angle

• Add the result to the original angle

In the context of the Law of Sines, what does it mean to 'cross multiply'?

• Multiply the sines of the angles with their opposite sides

• Divide the product of one side and its sine by the sine of another angle

• Multiply the opposite sides and divide by the sine of the given angle

• None of the above

What should you label on your diagram before solving a problem using the Law of Cosines?

• All angles and one side

• All sides and all angles

• All sides and one angle

• Only the sides known

What is the final step in solving for a side using the Law of Cosines?

• Multiply by two

• Divide by the cosine of the included angle

• Subtract the angle from 180 degrees

• Take the square root of the calculated value