Trigonometry Revision

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 does SOH-CAH-TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

What is the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 0.5.

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Front

If the opposite side is 3 m and the hypotenuse is 5 m, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 3/5 = 0.6.

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: a² + b² = c².

Front

How do you find the height of a ladder leaning against a wall?

Back

Use the Pythagorean theorem: height = √(length² - distance from wall²).

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.