Trigonometry For Kids! Trivia Quiz

Answer: Triangle

Trigonometry is a branch of geometry which deals with the study of triangles. Trigonometry studies the relationship between the sides and the angles of a triangle.

Answer: right side

The three sides of the sides of a right triangle are the opposite side, adjacent side and hypotenuse side. The right side does not exist in a right triangle. The opposite and adjacent sides of the triangle form the right angle while the hypotenuse side opposite of the right angle.

Answer: Pythagorean theorem

The Pythagorean theorem describes the relation ship of the lengths of a right triangle. The equation for the Pythagorean theorem is a^2 + b^2 = c^2 where a and b are the lengths of the opposite side and adjacent side while c is the length of the hypotenuse side.

Answer: degrees and radians

The two most common units used to describe the angles in trigonometry are degrees and radians. Radians are used to describe the angle when the triangle sits at the center of a circle. Degrees are used to describe the angle of a more traditional triangle; for example using the angle to determine the size of the sides of the triangle or vice versa.

Other units used to describe the angle of a triangle are gradians, hour angles, turns and points.

Answer: The length of the opposite side divided by the length of the hypotenuse side

The formula of the sine of an angle is the the length of the opposite side divided by the length of the hypotenuse side. If the length of the opposite side is 3 and the the length of the hypotenuse side is 5, the sine of the angle is 3 divided by 5.

Answer: Tangent and Cotangent

The formula for the tangent is the length of the opposite side divided by length of the adjacent side. The formula for the cotangent is the length of the adjacent side divided by length of the opposite side. All other trigonometric functions use the hypotenuse side in their formula.

Answer: Cosine and Cosecant

Reciprocal or inverted pairs of trigonometric functions are functions that are defined by the same sides but are in reciprocal or inverted order. Sine and cosecant are both defined by the lengths of the opposite and hypotenuse sides. Cosine and secant are both defined by the lengths of the adjacent and hypotenuse sides. Tangent and cotangent are both defined by the lengths of the adjacent and opposite sides. Thus these functions are reciprocal or inverted pairs of functions. Cosine and cosecant are defined differently from each other, thus they are not reciprocal or inverted pairs of functions.

Answer: 13

Using the Pythagorean theorem, then 5^2 + 12^2 is equal to c^2. 25 + 144 = 169. The square root of 169 is 13. Thus the length of the hypotenuse side is 13.

Answer: 69.2 feet

If you use the basic trigonometric function tangent, you can measure the height of the wall. The formula is tangent of 60 degrees = height of wall divided by 40 feet. The answer is 69.2 feet.

Answer: 36.9 degrees

Assume that the 5 foot ladder serves as the length of the hypotenuse side and the 4 foot ladder serves as the length of the adjacent side. The cosine of the angle is equal to the length of the adjacent side divided by the length of the hypotenuse side. The cosine of the angle is equal to 4 divided by 5. The angle is equal to 36.9 degrees.