Mr. Dallas explains how to find missing angles in right triangles using trigonometry. The video covers inverse functions for sine, cosine, and tangent, and demonstrates how to use a calculator to find these inverses. It also provides instructions on setting the calculator to degree mode. Two example problems are solved step-by-step, illustrating the process of finding angles using trigonometric ratios and inverse functions.

What is the purpose of using inverse trigonometric functions in trigonometry?

• To simplify trigonometric expressions

• To determine the length of the sides given an angle

• To find the angles given the sides of a right triangle

• To calculate the hypotenuse of a right triangle

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How do you find the inverse of sine using a calculator?

• Divide the sine of the angle by the cosine of the angle

• Multiply the sine of the angle by -1

• Use the second function key followed by the sine button

• Press the sine button followed by the number

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In the context of trigonometry, what does solving for 'X' typically represent?

• Finding the length of a side in a right triangle

• Calculating the perimeter of a triangle

• Determining an angle in a right triangle

• Measuring the area of a triangle

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Which trigonometric function would you use if you know the opposite side and the hypotenuse?

• Cotangent

• Sine

• Cosine

• Tangent

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What is the result of using the inverse cosine function on a calculator?

• The measure of an angle in degrees

• The measure of an angle in radians

• The length of the hypotenuse

• The length of the adjacent side

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When solving trigonometry problems, why is it important to check if the calculator is in degree mode?

• To ensure the accuracy of angle measurements

• To convert radians to degrees automatically

• To increase the speed of calculation

• To use the calculator in scientific mode

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How can you find the angle 'X' in a right triangle using the tangent function?

• By subtracting the adjacent side from the opposite side

• By adding the opposite side to the adjacent side

• By multiplying the opposite side by the adjacent side

• By dividing the opposite side by the adjacent side

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Why might one choose to use the cosine function over the sine function in a problem?

• When the hypotenuse is unknown

• When the adjacent side and hypotenuse are known

• When the triangle is not right-angled

• When only the opposite side is known

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What does the acronym SOHCAHTOA help you remember?

• The names of different types of triangles

• The order of operations in algebra

• The relationships between the sides and angles of a right triangle

• The formulas for the area and perimeter of a triangle

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What method is used to find the angle 'Y' in the complex example problem?

• Using the Pythagorean theorem

• Applying the law of sines

• Calculating the sum of angles in a triangle

• Using the inverse tangent function

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