8.2 - Trig - Finding Sides

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the cosine ratio in a right triangle?
Back
The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
2.
FLASHCARD QUESTION
Front
What is the sine ratio in a right triangle?
Back
The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
3.
FLASHCARD QUESTION
Front
What is the tangent ratio in a right triangle?
Back
The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side.
4.
FLASHCARD QUESTION
Front
If cos(θ) = adjacent/hypotenuse, what is the adjacent side if hypotenuse = 14 and cos(37°) is used?
Back
Adjacent = 14 * cos(37°) = 14 * 0.7986 ≈ 11.18.
5.
FLASHCARD QUESTION
Front
How do you find the length of a missing side in a right triangle?
Back
Use trigonometric ratios (sine, cosine, tangent) based on the known angles and sides.
6.
FLASHCARD QUESTION
Front
What is the Pythagorean theorem?
Back
In a right triangle, a² + b² = c², where c is the hypotenuse.
7.
FLASHCARD QUESTION
Front
If one side of a right triangle is 6.57 cm and the angle is 37°, what is the opposite side?
Back
Opposite = 6.57 * tan(37°) = 6.57 * 0.7536 ≈ 4.95 cm.
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