Podcast
Questions and Answers
Which of the following pairs correctly represent the relationships between the trigonometric ratios?
Which of the following pairs correctly represent the relationships between the trigonometric ratios?
What is the formula for calculating the tangent of an angle in a right triangle?
What is the formula for calculating the tangent of an angle in a right triangle?
Which of the following statements about the trigonometric ratios is true?
Which of the following statements about the trigonometric ratios is true?
Which of the following identifies the basic trigonometric ratios?
Which of the following identifies the basic trigonometric ratios?
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Which ratio represents the reciprocal of the tangent?
Which ratio represents the reciprocal of the tangent?
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What ratio is used to express the relationship between the opposite side and the hypotenuse in a right-angled triangle?
What ratio is used to express the relationship between the opposite side and the hypotenuse in a right-angled triangle?
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Which trigonometric ratio is considered the reciprocal of cosine?
Which trigonometric ratio is considered the reciprocal of cosine?
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If the acute angle θ in a right triangle is known, which of the following ratios can be calculated?
If the acute angle θ in a right triangle is known, which of the following ratios can be calculated?
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When considering a right-angled triangle, what happens to the base and perpendicular when calculating trigonometric ratios for angle A instead of angle C?
When considering a right-angled triangle, what happens to the base and perpendicular when calculating trigonometric ratios for angle A instead of angle C?
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Which statement about trigonometric ratios is correct?
Which statement about trigonometric ratios is correct?
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Study Notes
Trigonometric Ratios
- Six trigonometric ratios exist: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
- Used in trigonometry, a branch of mathematics studying angles and sides of right triangles.
- Ratios are evaluated based on triangle sides and angles.
Sine (sin)
- Formula: sin(C) = (side opposite to angle C) / (hypotenuse)
Cosine (cos)
- Formula: cos(C) = (side adjacent to angle C) / (hypotenuse)
Tangent (tan)
- Formula: tan(C) = (side opposite to angle C) / (side adjacent to angle C)
Cotangent (cot)
- Formula: cot(C) = 1 / tan(C) = (side adjacent to angle C) / (side opposite to angle C)
Secant (sec)
- Formula: sec(C) = 1 / cos(C) = (hypotenuse) / (side adjacent to angle C)
Cosecant (csc)
- Formula: csc(C) = 1 / sin(C) = (hypotenuse) / (side opposite to angle C)
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Description
This quiz covers the six trigonometric ratios used in the study of angles and sides of right triangles. You will learn formulas for sine, cosine, tangent, cotangent, secant, and cosecant. Test your understanding of how these ratios relate to triangle geometry.
