Understanding Trigonometry Concepts
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Questions and Answers

What is the primary focus of trigonometry?

  • The relationship between triangle sides and angles (correct)
  • The area of quadrilaterals
  • Calculating the lengths of cube edges
  • The properties of circles

    • What is the correct definition of the sine ratio?

  • Opposite / Adjacent
  • Hypotenuse / Adjacent
  • Adjacent / Hypotenuse
  • Opposite / Hypotenuse (correct)

    • In the triangle example provided, what is the value of tan A?

  • 13/5
  • 12/13
  • 12/5
  • 5/12 (correct)

    • What is the value of cos H given the sides of the triangle?

    <p>12/15 (A)</p> Signup and view all the answers

    How do you find the angle measure using trigonometric functions?

    <p>Use the inverse function of the ratio (A)</p> Signup and view all the answers

    What is the first step in finding the side lengths of a triangle using trigonometry?

    <p>Determine which trigonometric function to use (C)</p> Signup and view all the answers

    What equation would represent a triangle with an angle of 39 degrees and opposite side of 11?

    <p>Tan(39) = 11/x (A)</p> Signup and view all the answers

    What value should you calculate to find side length x if using Cos(21) = x/26?

    <p>x = 26 * Cos(21) (B)</p> Signup and view all the answers

    If Tan(34) = 11/x, what is the correct next step after writing the equation?

    <p>Rearrange to x = 11 / Tan(34) (B)</p> Signup and view all the answers

    What should you ensure before using a calculator for trigonometric functions?

    <p>The calculator should be in degree mode (B)</p> Signup and view all the answers

    What is the combined equation used to find the side length if Cos(43) = 36/x?

    <p>x = 36 / Cos(43) (A)</p> Signup and view all the answers

    In the context of the problems, what does x typically represent?

    <p>The length of one of the sides of the triangle (D)</p> Signup and view all the answers

    After finding the equation Sin(33) = 15/x and calculating the value of x, what process is next?

    <p>Calculate using the calculator for the final value of x (D)</p> Signup and view all the answers

    Flashcards

    Trigonometry

    Study of triangle sides and angles' relationships.

    Trigonometric Ratios

    Relationships between sides and angles in a right triangle.

    Sine

    Opposite side divided by hypotenuse.

    Cosine

    Adjacent side divided by hypotenuse.

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    Tangent

    Opposite side divided by adjacent side.

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    Trigonometry to Find Sides

    Using trigonometric functions (sine, cosine, tangent) to determine the length of a side in a right triangle, given an angle and another side length.

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    Equation Setup (Trigonometry)

    Setting up a trigonometric equation with a known angle and two sides involves relating the trig function (sin, cos, tan) to the ratio of sides.

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    Calculator Mode

    Using degree mode for trigonometric functions on a calculator to get accurate side length calculations.

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    Determine Trig Function

    Identifying the appropriate trigonometric function (sin, cos, or tan) to solve for the missing side, based on the known angle and side position.

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    Solve for x

    Isolating the variable 'x' algebraically in the trigonometric equation to find its numerical value, relating to the missing side length.

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    Calculate Using Calculator

    Evaluating the trigonometric equation using a calculator to find the exact numerical side length using the appropriate trig function

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    Right Triangle Trigonometry

    Using trigonometry to calculate the sides of a right-angled triangle when knowing an angle and another side length

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    Tangent (Tan)

    The trigonometric function that relates the ratio of the opposite side to the adjacent side of an angle in a right-angled triangle.

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