TOPIC
MY PROGRESS
Pug Score
0%
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Read
Quiz
Next Steps
Get Started
Get unlimited access to all videos, practice problems, and study tools.
Unlimited practice
Full videos
Back to Menu
Topic Progress
Pug Score
0%
Videos Watched
0/0
Best Practice
No score
Read
Not viewed
Best Quiz
No attempts
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Read
Quiz
Next Steps
Overview
Advanced Mathematics 2200
Trigonometry
2. NL.SO.2200T2
2.5 Trigonometric ratios of angles in radians
Trigonometric Ratios of Angles in Radians
Find sine, cosine, and tangent for angles given in radians using the unit circle, reference angles, and special angle values.
What You'll Learn
Radians are just another unit for measuring angles, and every trig ratio you know from degrees works the same way in radians
The unit circle gives exact sine, cosine, and tangent values for common radian angles like pi over 6, pi over 4, pi over 3, and pi over 2
For angles beyond the first quadrant, use a reference angle together with the ASTC rule to get the correct sign
Sketching the sine ratio as a function of an angle in radians shows its repeating, wave-like pattern
What You'll Practice
1
Evaluating sine, cosine, tangent, and secant for angles like π/3, 3π/4, and 7π/6
2
Converting radian measures to degrees and vice versa
3
Drawing angles in standard position and identifying terminal arms
4
Finding positive and negative coterminal angles in radian form
5
Applying special triangle ratios (30-60-90 and 45-45-90) in different quadrants
Why This Matters
Understanding trigonometric ratios in radians is essential for advanced math and physics. Radians are the standard unit in calculus, engineering, and scientific applications, making this skill crucial for your future STEM coursework and problem-solving in real-world contexts.
This Unit Includes
9 Video lessons
Practice exercises
Learning resources
Skills
Radians
Trigonometric Ratios
Unit Circle
Reference Angles
CAST Rule
Coterminal Angles
Special Triangles
Angle Conversion
NL Curriculum Aligned