Classwork: Trig Ratios Basics

If the opposite side is 5 cm and the adjacent side is 12 cm, what is the tangent of the angle?

• @@rac{5}{12}@@

• @@rac{12}{5}@@

• @@rac{5}{13}@@

• @@rac{13}{5}@@

What does 'Cah' in Soh Cah Toa stand for?

• Cosine = Adjacent / Hypotenuse

• Cosine = Opposite / Hypotenuse

• Cosine = Adjacent / Opposite

• Cosine = Hypotenuse / Opposite

How do you find the length of a side in a right triangle using trigonometric ratios?

• Use the ratios: Sine, Cosine, or Tangent based on the known sides.

• Add the lengths of the two other sides.

• Multiply the lengths of the two other sides.

• Use the Pythagorean theorem to find the length.

In a right triangle, if one angle is 45 degrees, what is the cosine of that angle?

• @@rac{ ext{√2}}{2}@@

• @@rac{1}{ ext{√2}}@@

• 0

• 1

What is the ratio for Sine?

• @@\frac{opposite}{hypotenuse}@@

• @@\frac{adjacent}{hypotenuse}@@

• @@\frac{opposite}{adjacent}@@

• @@\frac{hypotenuse}{opposite}@@

What is the ratio for Tangent?

• @@\frac{adjacent}{opposite}@@

• @@\frac{opposite}{adjacent}@@

• @@\frac{hypotenuse}{adjacent}@@

• @@\frac{hypotenuse}{opposite}@@

What is the ratio for Cosine?

• @@rac{opposite}{hypotenuse}@@

• @@rac{adjacent}{hypotenuse}@@

• @@rac{adjacent}{opposite}@@

• @@rac{hypotenuse}{opposite}@@

If the hypotenuse is 10 cm and the opposite side is 6 cm, what is the sine of the angle?

• @@rac{3}{5}@@

• @@rac{4}{5}@@

• @@rac{6}{10}@@

• @@rac{5}{10}@@

What is the Pythagorean theorem?

• @@a^2 + b^2 = c^2@@ where c is the hypotenuse.

• @@a + b = c@@

• @@a^2 - b^2 = c^2@@

• @@c^2 = a^2 + b^2 + d^2@@

Find the length of the missing side if the hypotenuse is 17 cm and one side is 15 cm.

• 10 cm

• 12 cm

• 13 cm

• 14 cm