Florida B.E.S.T. MA.912.T.2.5
The Standard
Given angles measured in radians or degrees, calculate the values of the six basic trigonometric functions using the unit circle, trigonometric identities or technology.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students locate an angle’s terminal point on the unit circle. They read cosine and sine from its coordinates, then calculate tangent and the three reciprocal functions using identities or technology.
What Mastery Looks Like
- A student can find exact values for all six functions at common angles in degrees or radians. They choose correct signs by quadrant and identify undefined values. For other angles, they select the correct calculator mode and round as directed.
Common Misconceptions
- Students often swap the x and y coordinates, reversing cosine and sine. They may miss quadrant signs or confuse reciprocal functions with inverse functions. They also use the wrong calculator mode or give a number when a function is undefined.
How to Assess It
- Exit ticket: For 150°, write its radian measure, sketch its terminal point, and find the exact values of all six trigonometric functions.
Lesson moves
Ways to Teach It
Give pairs a paper unit circle and angle cards; students place each angle, label its coordinates, and record all six values.
Ask: Why are tangent and secant undefined at 90°? Students explain using coordinates and denominators.
Play trig match: students pair angle cards with coordinate cards and six-function value cards, earning a point only for a complete set.
Model a Ferris wheel seat at 210°; students use its unit-circle position to calculate all six trigonometric values.
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Printable MA.912.T.2.5 Worksheet
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Related Standards
- MA.912.T.1
Define and use trigonometric ratios, identities or functions to solve problems.
- MA.912.T.2.2
Define the six basic trigonometric functions for all real numbers by identifying corresponding angle measures and using right triangles drawn in the unit circle...
- MA.912.T.2.3
Determine the values of the six basic trigonometric functions for 0, π/6, π/3 and π/4 and their multiples using special triangles.
- MA.912.T.2
Extend trigonometric functions to the unit circle.
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