Trigonometric Ratios and Triangle Properties

This video tutorial explains how to calculate missing angles in triangles using various methods. It starts with basic angle calculations, progresses to solving angles with algebraic expressions, and then covers trigonometry for right triangles using SOHCAHTOA. The video also demonstrates the application of the law of sines and the law of cosines to find missing angles in different types of triangles.

What is the sum of all angles in any triangle?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

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CCSS.7.G.B.5

If angle A is 44 degrees, angle B is 9x + 10, and angle C is 12x, what is the value of x?

• 4

• 5

• 6

• 7

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CCSS.HSG.SRT.C.6

In a right triangle, which trigonometric ratio is used when you know the opposite side and the hypotenuse?

• Secant

• Tangent

• Sine

• Cosine

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CCSS.HSG.SRT.C.8

What is the value of angle x if cosine x equals 8/11?

• 90 degrees

• 60 degrees

• 43.3 degrees

• 27.8 degrees

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

When using the Law of Sines, how many possible solutions can there be for an angle?

• Three

• Two

• One

• Four

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If angle A is 40 degrees and side a is 10, what is the measure of angle B using the Law of Sines?

• 80 degrees

• 70 degrees

• 60 degrees

• 50.47 degrees

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which law is used to find an angle when all three sides of a triangle are known?

• Pythagorean Theorem

• SOHCAHTOA

• Law of Sines

• Law of Cosines

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In the Law of Cosines, what does c squared equal?

• a squared + b squared - 2ab cos C

• a squared + b squared + 2ab cos C

• a squared - b squared + 2ab cos C

• a squared - b squared - 2ab cos C

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CCSS.HSG.SRT.C.8

If cosine of angle A is 83/160, what is the measure of angle A?

• 60 degrees

• 58.75 degrees

• 45 degrees

• 75 degrees

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CCSS.8.G.A.5

How can you calculate angle C if you know angles A and B in a triangle?

• Subtract angles A and B from 180

• Multiply angles A and B

• Divide angles A and B

• Add angles A and B

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CCSS.8.G.A.5