Define trigonometry.
The branch of mathematics dealing with the relationships between the angles and sides of triangles.
What is the Pythagorean theorem?
In a right triangle, a² + b² = c², where c is the hypotenuse.
True or false: The sine of an angle is opposite over hypotenuse.
TRUE
Fill in the blank: Cosine is the ratio of ______ to the hypotenuse.
Adjacent side
What does tan represent in a right triangle?
The ratio of the opposite side to the adjacent side.
Define hypotenuse.
The longest side of a right triangle, opposite the right angle.
What is the unit circle?
A circle with a radius of one centered at the origin of a coordinate plane.
True or false: The cotangent is the reciprocal of tangent.
TRUE
Fill in the blank: The secant is the reciprocal of ______.
Cosine
What is the angle of elevation?
The angle formed by a horizontal line and the line of sight to an object above.
Define reference angle.
The acute angle formed by the terminal side of an angle and the x-axis.
What is the sine rule?
In any triangle, a/sin(A) = b/sin(B) = c/sin(C).
True or false: The cosine rule is used for non-right triangles.
TRUE
Fill in the blank: The angle of depression is measured from the ______.
Horizontal line downwards
What is the period of the sine function?
The length of one complete cycle, which is 2π radians.
Define amplitude in trigonometric functions.
The maximum distance from the midline to the peak or trough.
What is the domain of the tangent function?
All real numbers except for odd multiples of π/2.
True or false: The range of the sine function is from -1 to 1.
TRUE
Fill in the blank: The inverse sine function is also known as ______.
Arcsine
What is the law of cosines?
c² = a² + b² - 2ab*cos(C) for any triangle.
Define angle in the context of trigonometry.
A figure formed by two rays, called the sides of the angle, sharing a common endpoint.
What does SOHCAHTOA stand for?
Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
True or false: The secant function is defined as 1/cosine.
TRUE
Fill in the blank: The cosecant is the reciprocal of ______.
Sine
