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): a² + b² = c².

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you calculate the angle of elevation?

Back

The angle of elevation is calculated using the inverse tangent function (arctan) of the ratio of the opposite side to the adjacent side in a right triangle.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 180 degrees is equal to π radians.

Front

What is the formula for finding the height of an object using the angle of elevation?

Back

Height = Distance × tan(angle of elevation).

Front

What is the law of sines?

Back

The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C).

Front

What is the law of cosines?

Back

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles: c² = a² + b² - 2ab*cos(C).