Exploring Sine, Cosine, and Tangent Relationships

The video tutorial explains the concept of similar triangles, focusing on right triangles with a common angle theta. It discusses how knowing two angles of a triangle allows you to determine the third, leading to the conclusion that triangles with the same angles are similar. The tutorial explores the ratios of corresponding sides in similar triangles and introduces trigonometric ratios: sine, cosine, and tangent. It concludes with the mnemonic 'soh-cah-toa' to help remember these ratios.

What is the result of having two congruent angles in a right triangle?

• The triangles have equal perimeters.

• The triangles have equal areas.

• The triangles are similar.

• The triangles are congruent.

How many angles in common do two triangles need to be considered similar?

• One

• Two

• Three

• Four

What does the ratio of corresponding sides in similar triangles indicate?

• The triangles have the same area.

• The ratio is always constant.

• The triangles have the same perimeter.

• The ratio is always different.

Which side corresponds to BC in the second triangle?

• FD

• EF

• DF

• DE

What is the sine of an angle defined as in a right triangle?

• Opposite over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

What does the cosine of an angle represent in a right triangle?

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

• Adjacent over Opposite

What is the tangent of an angle defined as in trigonometry?

• Hypotenuse over Adjacent

• Opposite over Adjacent

• Hypotenuse over Opposite

• Adjacent over Opposite

From the perspective of angle theta, what does the adjacent side over the hypotenuse represent?

• Tangent

• Secant

• Sine

• Cosine

What mnemonic helps remember the trigonometric ratios?

• AHO-TSO-CHA

• TOA-SOH-CAH

• COH-SAH-OTA

• SOH-CAH-TOA

Which trigonometric function is defined as opposite over adjacent?

• Sine

• Cosine

• Cotangent

• Tangent