# T.1 - Angles and Trig Functions

T.1  The student, given a point on the terminal side of an angle in standard position, or the value of the trigonometric function of the angle, will determine the sine, cosine, tangent, cotangent, secant, and cosecant of the angle.

### UNDERSTANDING THE STANDARD

2016 VDOE Curriculum Framework - T.1 Understanding

·  Triangular trigonometric function definitions are related to circular trigonometric function definitions.

·  Both degrees and radians are units for measuring angles.

·  Drawing an angle in standard position will force the terminal side to lie in a specific quadrant or axis.

·  A point on the terminal side of an angle determines a reference triangle from which the values of the six trigonometric functions may be derived.

·  If one trigonometric function value is known, then a triangle can be formed to use in determining the other five trigonometric function values.

### ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  T.11  Define the six triangular trigonometric functions of an angle in a right triangle.

·  T.15  Given one trigonometric function value, determine the other five trigonometric function values.

·  T.14  Determine the value of any trigonometric function when given a point on the terminal side of an angle in standard position.

·  T.12  Draw a reference right triangle when given a point on the terminal side of the angle in standard position.

·  T.13  Draw a reference right triangle when given the value of a trigonometric function of the angle.

### KEY VOCABULARY

Updated: May 29, 2018