Trigonometry

Front

What is the definition of 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 hypotenuse in a right triangle?

Back

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

Front

What are the three primary trigonometric ratios?

Back

The three primary trigonometric ratios are Sine (sin), Cosine (cos), and Tangent (tan).

Front

What does SOH-CAH-TOA stand for?

Back

SOH-CAH-TOA is a mnemonic to remember the definitions of the sine, cosine, and tangent ratios: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you find the sine of an angle in a right triangle?

Back

To find the sine of an angle, divide the length of the side opposite the angle by the length of the hypotenuse.

Front

How do you find the cosine of an angle in a right triangle?

Back

To find the cosine of an angle, divide the length of the side adjacent to the angle by the length of the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

To find the tangent of an angle, divide the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

If one angle of a right triangle is 30 degrees, what is the sine of that angle?

Back

The sine of 30 degrees is 0.5.

Front

If one angle of a right triangle is 45 degrees, what is the tangent of that angle?

Back

The tangent of 45 degrees is 1.