Tangent Ratio introduction

Front

What is the tangent ratio?

Back

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

Front

If you are given the two sides that are not the hypotenuse, which trig function should you use?

Back

Tangent.

Front

What is the tangent ratio for Angle A in a right triangle?

Back

BC/AC (BC over AC) where BC is the opposite side and AC is the adjacent side.

Front

What side does 'x' represent in a right triangle?

Back

Opposite side.

Front

Calculate tan(10°).

Back

Approximately 0.176.

Front

What is the formula for tangent in terms of sine and cosine?

Back

tan(θ) = sin(θ) / cos(θ).

Front

In a right triangle, if the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

tan(θ) = 3/4.

Front

What is the relationship between tangent and the unit circle?

Back

Tangent can be defined as the y-coordinate divided by the x-coordinate of a point on the unit circle.

Front

What is the value of tan(45°)?

Back

1, because the opposite and adjacent sides are equal.

Front

If tan(θ) = 2, what is the ratio of the opposite side to the adjacent side?

Back

2:1.