Grade 10 Math: Trigonometry

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What is the Pythagorean identity for sine and cosine?
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sin²θ + cos²θ = 1
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How do you define the sine ratio in a right triangle?
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Opposite side divided by hypotenuse.
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What is the cosine ratio in a right triangle?
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Adjacent side divided by hypotenuse.
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How do you define the tangent ratio?
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Opposite side divided by adjacent side.
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How do you calculate the sine of an angle using a calculator?
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Use the 'sin' button and enter the angle value.
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What is the angle sum in any triangle?
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180 degrees.
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How do you convert degrees to radians?
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Multiply degrees by π/180.
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What is the adjacent side in trigonometry?
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The side next to the angle of interest, excluding the hypotenuse.
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What is the function of the inverse sine, written as sin⁻¹?
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It is used to find the angle whose sine value is known.
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Define the term 'hypotenuse' in a right triangle.
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The longest side opposite the right angle.
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What does the acronym SOHCAHTOA stand for?
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Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
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How do you find the cosine of angles greater than 90 degrees?
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Use the unit circle or trigonometric table.
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How is the tangent function related to sine and cosine?
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tanθ = sinθ/cosθ
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What is a complementary angle in trigonometry?
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Two angles that add up to 90 degrees.
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What are the primary trigonometric ratios?
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Sine, Cosine, Tangent.
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How do you find an angle using cosine on a calculator?
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Use the 'cos⁻¹' button for the inverse cosine function.
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What is the sine of 0 degrees?
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0
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What is the cosine of 90 degrees?
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0
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Explain the term 'angle of elevation.'
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The angle above the horizontal line of sight when looking up at an object.
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Explain the term 'angle of depression.'
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The angle below the horizontal line of sight when looking down at an object.
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