trig labeling sides

Front

What is the definition of the adjacent side in a right triangle?

Back

The adjacent side is the side next to the angle of interest (not the hypotenuse).

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite the angle of interest.

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the length of the adjacent side divided by the length of the hypotenuse: cos A = adjacent/hypotenuse.

Front

What is the sine ratio?

Back

The sine ratio is defined as the length of the opposite side divided by the length of the hypotenuse: sin A = opposite/hypotenuse.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the length of the opposite side divided by the length of the adjacent side: tan A = opposite/adjacent.

Front

If the hypotenuse is 25 and the adjacent side is 24, what is the cosine of the angle?

Back

cos A = \frac{24}{25}.

Front

If the opposite side is 30 and the hypotenuse is 50, what is the sine of the angle?

Back

sin A = \frac{30}{50} = \frac{3}{5}.

Front

In a right triangle, if one angle is 30 degrees, what is the ratio of the opposite side to the hypotenuse?

Back

The ratio is 1:2.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a^2 + b^2 = c^2.