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Copy of Trigonometric Ratios in Right Triangles

Autor:Isaac L, GeoGebra Content Team
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What do you notice about the two triangles?

If Angle A in Triangle 1 is your reference angle, what is the length of the opposite side?

Puneți răspunsul aici
  • A
  • B
  • C
Verifică răspunsul (3)

If Angle B in Triangle 1 is your reference angle, what is the length of the opposite side?

Puneți răspunsul aici
  • A
  • B
  • C
Verifică răspunsul (3)
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Predict the value of x.

Discover sine, cosine, and tangent ratios in right triangles. Observe how these ratios change when modifying the triangle. Make sure to use the drop-down menu to explore all three types of ratios. Also, make sure to click the purple Animate button.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

In a 3, 4, 5 right triangle, what is the sine ratio when the reference angle is adjacent to the side of length 3?

In a 3, 4, 5 right triangle, what is the sine ratio when the reference angle is adjacent to the side of length 4?

In a 3, 4, 5 right triangle, what is the what is the tangent ratio when the reference angle is adjacent to the side of length 3?

In a 3, 4, 5 right triangle, what is the what is the tangent ratio when the reference angle is adjacent to the side of length 4?

In a 3, 4, 5 right triangle, what is the cosine ratio when the reference angle is adjacent to the side of length 3?

In a 3, 4, 5 right triangle, what is the cosine ratio when the reference angle is adjacent to the side of length 4?

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Extension: How can you use the sine function to find the exact value of x? What is the exact value of x?

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