Trig Semester Review

Front

What is the formula to find the angle formed by a cable and the ground when given the height of a tower and the length of the cable?

Back

Use the sine function: sin(θ) = opposite/hypotenuse. Here, opposite is the height of the tower and hypotenuse is the length of the cable.

Front

How do you calculate the distance from the base of a ladder to the wall when given the length of the ladder and the angle it makes with the wall?

Back

Use the cosine function: distance = length * cos(angle).

Front

What is the relationship between sine, cosine, and tangent in a right triangle?

Back

tan(θ) = sin(θ)/cos(θ).

Front

In which quadrant is angle Θ if sin Θ is negative and cos Θ is negative?

Back

Angle Θ is in Quadrant III.

Front

How do you convert degrees to radians?

Back

Multiply the degree measure by π/180.

Front

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

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If sin Θ = -3/5, what is the value of cos Θ in Quadrant III?

Back

cos Θ = -4/5.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.