Trigonometric Review

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 of a right triangle.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

Front

What is the sine function in relation to 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 of a right triangle.

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 proportional to the sine, cosine, and tangent of the angles.

Front

Back

This implies that in triangle ABC, where angle B is the angle of interest, x is the length of the side opposite angle B, and y is the length of the side adjacent to angle B.

Front

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

Back

Front

What is the formula for finding the height of a ladder leaning against a wall?

Back

Front

Back

This expression represents the length of the ladder, in feet, when the base of the ladder is 2 feet away from the wall and it makes an angle of 28° with the ground.

Front

What is the inverse relationship in the context of work and number of workers?

Back

The number of hours required to complete a task varies inversely with the number of workers; as the number of workers increases, the time taken decreases.

Front

How do you calculate the length of the other leg in a right triangle given one leg and an angle?

Back