Exploring the Law of Sines in Trigonometry

What is the Law of Sines primarily used for?

• Calculating the area of a triangle

• Solving non-right angled triangles

• Determining the height of a triangle

• Solving right-angled triangles

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What must you first determine before applying the Law of Sines?

• If the triangle is equilateral

• The area of the triangle

• The perimeter of the triangle

• If the triangle has a right angle

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When can the Law of Sines not be used?

• In scalene triangles

• In isosceles triangles

• In right-angled triangles

• In equilateral triangles

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How are angles and sides labeled in a triangle for the Law of Sines?

• Angles are uppercase, sides are lowercase

• Angles and sides are both uppercase

• Angles and sides are both lowercase

• Angles are lowercase, sides are uppercase

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CCSS.HSG.SRT.D.10

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What information is needed to use the Law of Sines effectively?

• The area of the triangle

• The height of the triangle

• Two complete matching sets

• One complete matching set and one half-filled matching set

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What is the relationship between an angle and its opposite side in a triangle?

• The larger the angle, the shorter the opposite side

• The angle size does not affect the side length

• The smaller the angle, the longer the opposite side

• The larger the angle, the longer the opposite side

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

• Multiply the known side by the sine of its opposite angle

• Multiply the sine of the angle by the known side

• Divide the known side by the sine of its opposite angle

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

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What do you do if an angle needed for the Law of Sines is not given?

• Calculate it using the sum of triangle angles equals 180 degrees

• It's impossible to solve without the angle

• Use the Law of Cosines instead

• Guess the angle based on triangle shape

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What is the first step in solving for an unknown side in a non-right angled triangle?

• Identify a complete matching set of angle and side

• Calculate the perimeter

• Calculate the area

• Identify the right angle

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

• Use the inverse sine of the known side divided by its opposite angle

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

• Multiply the known angle by the side opposite to it

• Use the inverse sine of the ratio of the known side to the sine of the opposite angle

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11