Trigonometry

What is trigonometry?

Trigonometry is the branch of mathematics dealing with the relationships between the angles and sides of triangles.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

What are the primary trigonometric functions?

The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan).

What is the sine of an angle in a right triangle?

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

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.

What is the tangent of an angle?

The tangent of an angle is the ratio of the sine of the angle to the cosine of the angle, or the ratio of the opposite side to the adjacent side.

What is the unit circle?

The unit circle is a circle with a radius of one centered at the origin of a coordinate plane, used to define trigonometric functions.

What is the inverse sine function?

The inverse sine function, denoted as sin⁻¹ or arcsin, gives the angle whose sine is a given number.

What is the angle sum identity for sine?

The angle sum identity states that sin(a + b) = sin(a)cos(b) + cos(a)sin(b).

What are the co-function identities?

Co-function identities relate the trigonometric functions of complementary angles, such that sin(90° - θ) = cos(θ) and tan(90° - θ) = cot(θ).