Solve for a side (tangent)

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function defined as the ratio of the opposite side to the adjacent side in a right triangle.

Front

How do you calculate the tangent of an angle?

Back

To calculate the tangent of an angle, use the formula: tan(θ) = opposite/adjacent.

Front

What is the relationship between tangent and sine/cosine?

Back

The tangent of an angle can be expressed as tan(θ) = sin(θ)/cos(θ).

Front

If tan(θ) = 3/4, what does this mean in terms of a right triangle?

Back

This means that for every 3 units of the opposite side, there are 4 units of the adjacent side.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Front

How do you solve for a side using the tangent function?

Back

Use the formula: tan(θ) = opposite/adjacent. Rearrange to find the unknown side.

Front

What is the tangent of 22.62°?

Back

tan(22.62°) = 5/12.

Front

Which equation would you use to solve for x in tan(62°) = 10/x?

Back

You would use the equation tan(62°) = 10/x.

Front

What is the approximate value of tan(30°)?

Back

tan(30°) ≈ 0.577.

Front

If the opposite side is 10 and the angle is 62°, how do you find the adjacent side?

Back

Use the formula: adjacent = opposite/tan(θ). So, adjacent = 10/tan(62°).