Flashcards on Trigonometry

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What is Trigonometry?

Trigonometry is a branch of mathematics that focuses on the relationships between the sides and angles of triangles.

What are the six trigonometric ratios?

The six trigonometric ratios are sine, cosine, tangent, cosecant, secant, and cotangent.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

What is the difference between sine and cosine?

Sine is the ratio of the length of the side opposite a given angle to the length of the hypotenuse, while cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

What is the Unit Circle?

The Unit Circle is a circle with a radius of 1 that is centered at the origin of a coordinate plane. It is used to study trigonometric functions and their properties.

What is an inverse function?

An inverse function is a function that undoes another function. In trigonometry, the inverse functions are used to find the angle that corresponds to a given trigonometric ratio.

What is the Law of Sines?

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

What is the Law of Cosines?

The Law of Cosines is used to find the length of a side of a triangle when the lengths of the other two sides and the angle between them are known.

What is the difference between acute, obtuse, and right angles?

An acute angle is an angle that measures less than 90 degrees, an obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees, and a right angle is an angle that measures exactly 90 degrees.

What is the difference between adjacent and opposite sides in a right triangle?

The adjacent side is the side that is next to a given angle, while the opposite side is the side that is opposite that angle.

What is the difference between a line and a line segment?

A line extends infinitely in both directions, while a line segment has two endpoints and a measurable length.

What is the difference between a ray and an angle?

A ray has one endpoint and extends infinitely in one direction, while an angle has two rays that share a common endpoint.

What is the cosine of an angle?

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle that contains that angle.

What is the sine of an angle?

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle that contains that angle.

What is a radian?

A radian is a unit of measurement for angles that is based on the radius of a circle. One radian is equal to the angle subtended by an arc of the circle whose length is equal to the radius of the circle.

What is Trigonometry?

Trigonometry is a branch of mathematics that focuses on the relationships between the sides and angles of triangles.

What are the six trigonometric ratios?

The six trigonometric ratios are sine, cosine, tangent, cosecant, secant, and cotangent.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

What is the difference between sine and cosine?

Sine is the ratio of the length of the side opposite a given angle to the length of the hypotenuse, while cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

What is the Unit Circle?

The Unit Circle is a circle with a radius of 1 that is centered at the origin of a coordinate plane. It is used to study trigonometric functions and their properties.

What is an inverse function?

An inverse function is a function that undoes another function. In trigonometry, the inverse functions are used to find the angle that corresponds to a given trigonometric ratio.

What is the Law of Sines?

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

What is the Law of Cosines?

The Law of Cosines is used to find the length of a side of a triangle when the lengths of the other two sides and the angle between them are known.

What is the difference between acute, obtuse, and right angles?

An acute angle is an angle that measures less than 90 degrees, an obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees, and a right angle is an angle that measures exactly 90 degrees.

What is the difference between adjacent and opposite sides in a right triangle?

The adjacent side is the side that is next to a given angle, while the opposite side is the side that is opposite that angle.

What is the difference between a line and a line segment?

A line extends infinitely in both directions, while a line segment has two endpoints and a measurable length.

What is the difference between a ray and an angle?

A ray has one endpoint and extends infinitely in one direction, while an angle has two rays that share a common endpoint.

What is the cosine of an angle?

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle that contains that angle.

What is the sine of an angle?

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle that contains that angle.

What is a radian?

A radian is a unit of measurement for angles that is based on the radius of a circle. One radian is equal to the angle subtended by an arc of the circle whose length is equal to the radius of the circle.

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