Trigonometry flashcard 1

Front

What is the tangent function used for in trigonometry?

Back

The tangent function is used to relate the angle of a right triangle to the ratio of the lengths of the opposite side to the adjacent side.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

Calculate tan(X) if the opposite side is 32 and the adjacent side is 24.

Back

tan(X) = 32/24.

Front

Which professions commonly use trigonometry?

Back

Engineers, statisticians, technicians, mathematicians, and game makers all use trigonometry.

Front

What is the adjacent side in relation to an angle in a right triangle?

Back

The adjacent side is the side next to the angle that is not the hypotenuse.

Front

Define sine in the context of a right triangle.

Back

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

Front

Define cosine in the context of 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 Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Front

If the opposite side is 40 and the adjacent side is 32, what is tan(X)?

Back

tan(X) = 40/32.

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: tan(X) = sin(X)/cos(X).