Geometric, Pascals, Trig

Front

What is the formula for the tangent of an angle in a right triangle?

Back

Tangent (tan) = Opposite side / Adjacent side

Front

What is the formula for the cosine of an angle in a right triangle?

Back

Cosine (cos) = Adjacent side / Hypotenuse

Front

What is the formula for the sine of an angle in a right triangle?

Back

Sine (sin) = Opposite side / Hypotenuse

Front

How do you find the length of a side in a right triangle using the tangent function?

Back

Use the formula: Opposite side = Adjacent side * tan(angle).

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you find the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the common ratio in the geometric sequence 120, 60, 30?

Back

The common ratio is 0.5, as each term is multiplied by 0.5 to get the next term.

Front

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

Back

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

Front

How do you calculate the length of a ladder leaning against a wall?

Back

Use the formula: Length of ladder = Distance from wall / cos(angle).

Front

What is the value of tan(60°)?

Back

tan(60°) = √3.