Trig Ratios and Special Right Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a 45-45-90 triangle?
Back
A special right triangle where the angles are 45°, 45°, and 90°. The sides opposite the 45° angles are equal, and the hypotenuse is √2 times the length of each leg.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is the ratio of the sides in a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2, where 1 is the length of the short leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
What does 'Soh Cah Toa' stand for?
Back
It is a mnemonic to remember the definitions of sine, cosine, and tangent: Soh = Sine = Opposite/Hypotenuse, Cah = Cosine = Adjacent/Hypotenuse, Toa = Tangent = Opposite/Adjacent.
Tags
CCSS.HSG.SRT.C.6
4.
FLASHCARD QUESTION
Front
How do you find the hypotenuse in a 30-60-90 triangle if the short leg is known?
Back
Multiply the length of the short leg by 2 to find the hypotenuse.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the sine of an angle?
Back
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse (Opp/Hyp).
Tags
CCSS.HSG.SRT.C.6
6.
FLASHCARD QUESTION
Front
What is the cosine of an angle?
Back
The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse (Adj/Hyp).
Tags
CCSS.HSG.SRT.C.6
7.
FLASHCARD QUESTION
Front
What is the tangent of an angle?
Back
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side (Opp/Adj).
Tags
CCSS.HSG.SRT.C.6
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