Trigonometry Intro

Front

What is Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What is the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse: sin(θ) = Opp/Hyp.

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = Adj/Hyp.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = Opp/Adj.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

If one side of a right triangle is 16 and the hypotenuse is 34, what is the length of the other side?

Back

Using the Pythagorean theorem: a² + 16² = 34²; a² + 256 = 1156; a² = 900; a = 30.

Front

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

Back

The relationship can be expressed as: tan(θ) = sin(θ) / cos(θ).

Front

What is the value of sin(30°)?

Back

sin(30°) = 1/2.

Front

What is the value of cos(60°)?

Back

cos(60°) = 1/2.