Right Triangle Trig Redux

Front

What is the definition of the tangent function in a right triangle?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side: tanA = opp/adj.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adj/hyp.

Front

How do you set up an equation to find a side using sine?

Back

To find a side using sine, you can set up the equation: Sin(θ) = opposite/hypotenuse.

Front

What is the sine function in a right triangle?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opp/hyp.

Front

What is the relationship between the sides of a right triangle and the angles?

Back

In a right triangle, the lengths of the sides are related to the angles through trigonometric ratios: sine, cosine, and tangent.

Front

How do you find the length of a side using cosine?

Back

To find a side using cosine, you can set up the equation: cos(θ) = adjacent/hypotenuse.

Front

What is the formula to find the hypotenuse using sine?

Back

To find the hypotenuse using sine, rearrange the sine formula: hypotenuse = opposite/sin(θ).

Front

What is the formula to find the adjacent side using tangent?

Back

To find the adjacent side using tangent, rearrange the tangent formula: adjacent = opposite/tan(θ).

Front

What is the Pythagorean theorem?

Back

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

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.