Sine Rule and Trigonometric Ratios

The video tutorial reviews grade 10 trigonometry concepts and introduces the sine rule for solving non-right triangles. It explains the sine rule formula and demonstrates its application through example problems, highlighting the importance of identifying opposite sides and angles. The tutorial also mentions the ambiguous case for sine, which will be covered in future videos.

What trigonometric ratio is defined as the opposite side over the hypotenuse?

• Cosine

• Cotangent

• Tangent

• Sine

Which rule is used to solve triangles that are not right-angled?

• Tangent Rule

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

In the Sine Rule, what must you identify to apply the rule effectively?

• Opposite sides and angles

• Adjacent sides

• Hypotenuse

• All angles

If angle A is 30 degrees and side a is 5, what is the formula to find side b using the Sine Rule?

• b/cosB = a/sinA

• b/sinA = a/sinB

• b/sinB = a/cosA

• b/sinB = a/sinA

What is the first step in isolating an angle using the Sine Rule?

• Subtract the sine of the angle from both sides

• Multiply both sides by the sine of the angle

• Divide both sides by the sine of the angle

• Add the sine of the angle to both sides

What is the sum of all angles in a triangle?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

When solving for a side using the Sine Rule, what must you do after setting up the equation?

• Add the angles

• Multiply by the sine of the known angle

• Divide by the sine of the known angle

• Subtract the known side

What is the value of sin(30 degrees)?

• 0.5

• 0.866

• 1

• 0

If side a is 7 and angle A is 45 degrees, what is the expression for side c using the Sine Rule?

• c/sinC = 7/sin45

• c/sin45 = 7/sinC

• c/sinC = 7/cos45

• c/cosC = 7/sin45

What is the next step after calculating the sine of an angle to find the side length using the Sine Rule?

• Subtract the result from the known side

• Add the result to the known side

• Multiply the result by the known side

• Divide the result by the known side