How to use the law of sines given one angle and two sides - One Triangle

The video tutorial explains how to solve a triangle problem using the Law of Sines. The teacher provides a triangle with two known side lengths and an opposing angle. The tutorial covers drawing a sketch, applying the Law of Sines to find missing angles and side lengths, and using trigonometric functions like inverse sine. The teacher also emphasizes the importance of keeping exact values in calculations and concludes with a Q&A session.

What is the first step when given two side lengths and an opposing angle in a triangle?

• Use the Pythagorean theorem

• Apply the Law of Sines

• Calculate the area of the triangle

• Find the perimeter of the triangle

How do you find the sine of angle B using the given side lengths and angle?

• By using the cosine rule

• By setting up a proportion with the known values

• By directly measuring the angle

• By using the tangent rule

What is the inverse operation used to find angle B from its sine value?

• Inverse sine

• Inverse cotangent

• Inverse cosine

• Inverse tangent

What is the sum of all angles in a triangle?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

How is angle A calculated once angle B and angle C are known?

• By adding angles B and C

• By dividing angle C by angle B

• By subtracting the sum of angles B and C from 180 degrees

• By multiplying angles B and C

Which ratio is used to find the unknown side length a?

• a over cosine of angle A

• c over sine of angle C

• b over sine of angle B

• a over sine of angle A

What is the final step in solving for the unknown side length a?

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

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

• Subtract the sine of the known angle from the product of the known side and sine of the unknown angle

• Add the known side to the sine of the unknown angle