ACT Formula Flashcard TMSA

Front

What is the definition of \( \tan(\theta) \)?

Back

\( \tan(\theta) = \frac{Opposite}{Adjacent} \)

Front

What does the formula for Midpoint represent?

Back

The Midpoint formula computes the point that is exactly halfway between two points in a coordinate plane.

Front

What is the formula for the quadratic equation?

Back

\( \frac{\left(-b \pm \sqrt{(b^2 - 4ac)}\right)}{2a} \)

Front

What is the formula for the area of a triangle?

Back

\( A = \frac{1}{2} \cdot b \cdot h \)

Front

What is the definition of \( \operatorname{cosec}(\theta) \)?

Back

\( \operatorname{cosec}(\theta) = \frac{1}{\sin(\theta)} \)

Front

What is the relationship between sine and cosine?

Back

\( \sin(\theta) = \sqrt{1 - \cos^2(\theta)} \)

Front

What is the formula for the distance between two points \((x_1, y_1) ext{ and }(x_2, y_2)\)?

Back

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Front

What is the definition of exponential growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value.

Front

What is the formula for the slope of a line?

Back

\( m = \frac{y_2 - y_1}{x_2 - x_1} \)

Front

What is the Pythagorean theorem?

Back

In a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.