Trigonometric Functions and Problem Solving

The video tutorial covers solving right triangles using trigonometric functions, particularly tangent. It begins with basic examples of solving for unknown sides in right triangles and progresses to more complex problems involving two-triangle systems and multiple variables. The tutorial emphasizes the use of the tangent function and the SOHCAHTOA mnemonic to solve these problems, providing step-by-step solutions and encouraging problem-solving skills.

What is the first step in solving a two-triangle system problem?

• Use the cosine function to find the adjacent side.

• Directly calculate the sum of the angles.

• Use the sine function to find the hypotenuse.

• Separate the problem into two smaller triangles.

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CCSS.HSG.SRT.C.6

Which trigonometric function is used to find h1 in the first problem?

• Cosine

• Sine

• Tangent

• Secant

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CCSS.HSG.CO.C.9

In the second problem, what is the relationship between h1, h2, and x?

• x is the sum of h1 and h2.

• x is the product of h1 and h2.

• h1 is the sum of h2 and x.

• h2 is the sum of h1 and x.

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CCSS.HSG.SRT.C.8

How do you calculate h1 in the second problem?

• Divide 200 by sin 30.

• Multiply 200 by tan 30.

• Divide 200 by tan 30.

• Multiply 200 by sin 30.

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CCSS.8.G.A.5

What is the value of h2 in the second problem?

• 115.5

• 200

• 46.5

• 161.9

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CCSS.HSG.SRT.C.8

In the third problem, what is the formula for h1?

• 400 divided by tan 35

• 400 multiplied by tan 35

• 400 divided by sin 35

• 400 multiplied by sin 35

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CCSS.7.EE.B.4A

What is the value of x in the third problem?

• 571.26

• 857.80

• 286.54

• 400

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CCSS.HSG.SRT.C.8

In the complex problem, what is the first step to solve for x and y?

• Set up a system of equations.

• Use the cosine function to find x.

• Use the sine function to find y.

• Directly calculate x using tangent.

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CCSS.7.EE.B.4A

What is the value of y in the complex problem?

• 80

• 240.86

• 43

• 224.6

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CCSS.HSG.SRT.C.8

How is x calculated in the complex problem?

• By multiplying y with tan 43

• By dividing y by tan 43

• By subtracting y from tan 43

• By adding y to tan 43

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CCSS.HSG.SRT.C.8