0.6 - 0.7 PRACTICE SohCahToa

Front

What does Soh Cah Toa stand for in trigonometry?

Back

Soh Cah Toa is a mnemonic to remember the definitions of sine, cosine, and tangent: Soh = Sin = Opposite/Hypotenuse, Cah = Cos = Adjacent/Hypotenuse, Toa = Tan = Opposite/Adjacent.

Front

How do you find the maximum height of a projectile given its height function?

Back

To find the maximum height, use the vertex formula t = -b/(2a) from the quadratic equation h = at^2 + bt + c.

Front

What is the vertex of a parabola in standard form?

Back

The vertex of a parabola in standard form y = ax^2 + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the sine ratio for angle A if the opposite side is 36 and the hypotenuse is 45?

Back

The sine ratio sinA = Opposite/Hypotenuse = 36/45, which simplifies to 4/5.

Front

What is the cosine ratio for angle A if the adjacent side is 36 and the hypotenuse is 45?

Back

The cosine ratio cosA = Adjacent/Hypotenuse = 36/45, which simplifies to 4/5.

Front

What is the tangent ratio for angle A if the opposite side is 36 and the adjacent side is 27?

Back

The tangent ratio tanA = Opposite/Adjacent = 36/27, which simplifies to 4/3.

Front

How do you solve for x in a quadratic equation?

Back

To solve for x in a quadratic equation ax^2 + bx + c = 0, use the quadratic formula x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the formula for the height of a projectile?

Back

The height of a projectile can be modeled by the equation h = -16t^2 + vt + h0, where v is the initial velocity and h0 is the initial height.

Front

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

Back

In a right triangle, the ratios of the lengths of the sides are constant for given angles, which defines the sine, cosine, and tangent functions.

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.