Podcast
Questions and Answers
What is the formula for the area of a triangle using the Area Rule?
What is the formula for the area of a triangle using the Area Rule?
- $\frac{1}{2} ab \sin C$
- $\frac{1}{2} bc \sin A$ (correct)
- $bc \sin A$
- $\frac{1}{2} bc \cos A$
When should you use the Sine Rule?
When should you use the Sine Rule?
- When you know two angles and the included side.
- When you know three sides.
- When you know two sides and a non-included angle. (correct)
- When you know two sides and the included angle.
What is the formula for the Cosine Rule?
What is the formula for the Cosine Rule?
- $a^2 = b^2 + c^2 + 2bc \cos A$
- $a^2 = b^2 - c^2 + 2bc \cos A$
- $a^2 = b^2 + c^2 - bc \cos A$
- $a^2 = b^2 + c^2 - 2bc \cos A$ (correct)
In which quadrant is the tangent function positive?
In which quadrant is the tangent function positive?
What is the condition for using the Cosine Rule?
What is the condition for using the Cosine Rule?
When can you use the Area Rule?
When can you use the Area Rule?
What is the purpose of the CAST diagram?
What is the purpose of the CAST diagram?
What is a general solution of a trigonometric equation?
What is a general solution of a trigonometric equation?
What is the main difference between the Sine Rule and the Cosine Rule?
What is the main difference between the Sine Rule and the Cosine Rule?
If you are given two sides and the included angle of a triangle, which rule should you use to solve the triangle?
If you are given two sides and the included angle of a triangle, which rule should you use to solve the triangle?
In which quadrant is the cosine function positive?
In which quadrant is the cosine function positive?
What is the purpose of the CAST diagram in trigonometry?
What is the purpose of the CAST diagram in trigonometry?
If you are given two angles and a side of a triangle, which rule should you use to solve the triangle?
If you are given two angles and a side of a triangle, which rule should you use to solve the triangle?
What is the main difference between the Area Rule and the other two trigonometric rules?
What is the main difference between the Area Rule and the other two trigonometric rules?
If you are given three sides of a triangle, which rule should you use to solve the triangle?
If you are given three sides of a triangle, which rule should you use to solve the triangle?
What is the characteristic of a general solution to a trigonometric equation?
What is the characteristic of a general solution to a trigonometric equation?
What is the condition for using the Area Rule?
What is the condition for using the Area Rule?
In which quadrants are the sine and cosine functions positive?
In which quadrants are the sine and cosine functions positive?
What is the characteristic of the Sine Rule?
What is the characteristic of the Sine Rule?
What is the purpose of the CAST diagram?
What is the purpose of the CAST diagram?
When can you use the Cosine Rule?
When can you use the Cosine Rule?
What is the main difference between the Area Rule and the other two trigonometric rules?
What is the main difference between the Area Rule and the other two trigonometric rules?
What is the condition for using the Sine Rule?
What is the condition for using the Sine Rule?
What is the formula for the area of a triangle using the Area Rule, when two sides and the included angle are given?
What is the formula for the area of a triangle using the Area Rule, when two sides and the included angle are given?
If a triangle has two sides of length 5 and 7, and the angle between them is 60°, which rule would be used to find the length of the third side?
If a triangle has two sides of length 5 and 7, and the angle between them is 60°, which rule would be used to find the length of the third side?
In which quadrant is the value of sin(x) equal to the value of cos(x)?
In which quadrant is the value of sin(x) equal to the value of cos(x)?
What is the general solution to the equation sin(x) = 1/2?
What is the general solution to the equation sin(x) = 1/2?
If a triangle has two angles of 30° and 60°, and one side of length 5, which rule would be used to find the length of the other two sides?
If a triangle has two angles of 30° and 60°, and one side of length 5, which rule would be used to find the length of the other two sides?
What is the value of cos(A) in a triangle with sides of length 3, 4, and 5, and angle A opposite the side of length 4?
What is the value of cos(A) in a triangle with sides of length 3, 4, and 5, and angle A opposite the side of length 4?
In which quadrant(s) is the value of tan(x) negative?
In which quadrant(s) is the value of tan(x) negative?
What is the value of sin(B) in a triangle with sides of length 5, 7, and 8, and angle B opposite the side of length 7?
What is the value of sin(B) in a triangle with sides of length 5, 7, and 8, and angle B opposite the side of length 7?
If a triangle has three sides of length 5, 7, and 8, which rule would be used to find one of its angles?
If a triangle has three sides of length 5, 7, and 8, which rule would be used to find one of its angles?
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