Questions and Answers
What are trigonometric ratios?
The ratios of sides to give the value of a trig function of a given angle.
The tangent formula is represented as Tan(x°) = _____________
opposite side/adjacent side
The sine formula is represented as Sin(x°) = ____________
opposite side/hypotenuse
The cosine formula is represented as Cos(x°) = ____________
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What is the angle of elevation?
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What is the angle of depression?
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The inverse tangent formula is represented as _____________
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The inverse sine formula is represented as _____________
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The inverse cosine formula is represented as _____________
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The hypotenuse is NEVER __________.
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When do you use the regular formulas?
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When do you use the inverse formulas?
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Study Notes
Trigonometric Ratios
- Ratios of sides used to determine the value of a trigonometric function for a given angle.
Tangent Formula
- Formula expressed as Tan(x°) = opposite side / adjacent side.
Sine Formula
- Formula expressed as Sin(x°) = opposite side / hypotenuse.
Cosine Formula
- Formula expressed as Cos(x°) = adjacent side / hypotenuse.
Angle of Elevation
- The angle measured when looking upward from a lower position to a higher one.
Angle of Depression
- The angle measured when looking downward from a higher position to a lower one.
Inverse Tangent Formula
- Used to find an angle given the sides; x° = Tan⁻¹(opposite side / adjacent side).
Inverse Sine Formula
- Used to find an angle given the sides; x° = Sin⁻¹(opposite side / hypotenuse).
Inverse Cosine Formula
- Used to find an angle given the sides; x° = Cos⁻¹(adjacent side / hypotenuse).
Relationship of Hypotenuse
- Hypotenuse is never equal to the adjacent side in a right triangle.
Use of Regular Formulas
- Regular formulas are utilized when solving for the lengths of sides in a right triangle.
Use of Inverse Formulas
- Inverse formulas are applied when determining the measure of acute angles in a right triangle.
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Description
Test your knowledge on trigonometric ratios with these flashcards focusing on the SOHCAHTOA principles and their inverses. Each card presents a key term along with its definition, aiding in mastering basic trigonometric functions and formulas. Perfect for students learning geometry and trigonometry concepts.
