What is the significance of the ambiguous case in the Law of Sines?

The ambiguous case occurs when two sides and a non-included angle are known, leading to potentially two different triangles.

What is the formula for the area of a triangle using the Law of Sines?

Area = (1/2) * a * b * sin(C), where a and b are two sides and C is the included angle.

What is the first step to determine if a triangle can be formed with given dimensions?

Check if the sum of the lengths of any two sides is greater than the length of the third side.

What is the sine of an angle in a right triangle?

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

What is the cosine of an angle in a right triangle?

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

What is the range of possible values for the sine of an angle?

The sine of an angle can range from -1 to 1.

What is the range of possible values for the cosine of an angle?

The cosine of an angle can also range from -1 to 1.

When would you use the Law of Cosines instead of the Law of Sines?

Use the Law of Cosines when you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

1.6 Laws of Sine and Cosine Practice

Flashcard

•

Mathematics

•

9th Grade

•

Hard

•

CCSS

HSG.SRT.D.10, 7.G.A.2, HSG.SRT.C.6

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FLASHCARD QUESTION

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides of the triangle. It is expressed as: a/sin(A) = b/sin(B) = c/sin(C).

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