Trigonometry Review**

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the sine function?

Back

The sine function (sin) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the height of an object using trigonometry?

Back

You can find the height of an object by using the formula: height = distance * tan(angle), where distance is the horizontal distance from the object and angle is the angle of elevation.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the identity: sin²(θ) + cos²(θ) = 1.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

What is the formula for finding the sine of an angle?

Back

The formula for finding the sine of an angle A is: sin(A) = opposite/hypotenuse.