GB | U4Q2 | Angles with Trig Ratios and Context Questions

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the relationship between sine and cosine for complementary angles?

Back

For complementary angles, sin(θ) = cos(90° - θ).

Front

If sin(40°) = cos(50°), what does this imply about the angles?

Back

It implies that 40° and 50° are complementary angles.

Front

How do you find the height of a building using the length of a wire and the distance from the base?

Back

Use the Pythagorean theorem: height = √(wire length² - distance from base²).

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the sine ratio in a right triangle?

Back

Sine is defined as the ratio of the length of the opposite side to the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

Cosine is defined as the ratio of the length of the adjacent side to the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

Tangent is defined as the ratio of the length of the opposite side to the adjacent side: tan(θ) = opposite/adjacent.

Front

How do you solve for a missing angle in a right triangle?

Back

Use the inverse trigonometric functions: θ = sin⁻¹(opposite/hypotenuse), cos⁻¹(adjacent/hypotenuse), or tan⁻¹(opposite/adjacent).

Front

What is the value of sin(60°)?

Back

sin(60°) = √3/2.