Geometry Trigonometry & Applications

Question 1

What does sine (sin) represent in a right triangle?

Accepted Answer

Opposite over hypotenuse

Answer

Adjacent over hypotenuse.

Answer

Opposite over adjacent.

Answer

Hypotenuse over adjacent.

Question 2

What does cosine (cos) represent in a right triangle?

Accepted Answer

Adjacent over hypotenuse

Answer

Opposite over hypotenuse.

Answer

Opposite over adjacent.

Answer

Hypotenuse over opposite.

Question 3

What does tangent (tan) represent in a right triangle?

Accepted Answer

Opposite over adjacent

Answer

Adjacent over hypotenuse.

Answer

Opposite over hypotenuse.

Answer

Hypotenuse over adjacent.

Question 4

What is the Pythagorean identity?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sinθ + cosθ = 1.

Answer

sinθ × cosθ = 1.

Answer

tan²θ + 1 = sec²θ.

Question 5

Which function is used to find an angle given two sides?

Accepted Answer

Inverse functions like sin⁻¹

Answer

Basic sine, cosine, or tangent.

Answer

Square root function.

Answer

Multiplication only.

Question 6

Which tool uses trigonometry in real life?

Accepted Answer

Surveying

Answer

Cooking.

Answer

Typing.

Answer

Painting.

Question 7

What is the unit circle used for?

Accepted Answer

To define trig functions for all angles

Answer

To measure straight lines.

Answer

To add up side lengths.

Answer

To find perimeter.

Question 8

What is the hypotenuse in a right triangle?

Accepted Answer

The side opposite the right angle

Answer

The shortest side.

Answer

The adjacent side.

Answer

Any side.

Question 9

What is SOH-CAH-TOA?

Accepted Answer

A mnemonic for trig ratios

Answer

A formula for circles.

Answer

A type of triangle.

Answer

A unit of measurement.