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Advanced Mathematics 2200
Trigonometry
2. NL.SO.2200T2
2.3 ASTC rule in trigonometry (All Students Take Calculus)
ASTC Rule (All Students Take Calculus)
Use the ASTC rule to remember which trig ratios are positive in each quadrant, so you can find signs and evaluate angles fast.
What You'll Learn
The ASTC rule uses the phrase "All Students Take Calculus" to show which trig ratio is positive in each quadrant
Quadrant I: All ratios are positive; Quadrant II: only Sine; Quadrant III: only Tangent; Quadrant IV: only Cosine
The ASTC rule works together with the reference angle to evaluate trig ratios for any angle
Knowing the sign first prevents common mistakes when solving trig equations or word problems
What You'll Practice
1
Memorizing which ratio is positive in each quadrant using ASTC
2
Determining the sign of sine, cosine, and tangent for angles in different quadrants
3
Applying the 'Add Sugar To Coffee' mnemonic to recall quadrant rules
Why This Matters
The ASTC rule is essential for solving trigonometric equations and evaluating trig functions at any angle. You'll use this quadrant sign convention constantly in precalculus, calculus, physics, and engineering to correctly determine positive and negative values.
This Unit Includes
1 Video lesson
Practice exercises
Learning resources
Skills
ASTC Rule
Trigonometry
Quadrants
Unit Circle
Sine
Cosine
Tangent
Sign Convention
NL Curriculum Aligned