⭕ Unit Circle & Trigonometry Visualizer
TrigonometryWhat's happening? The point on the unit circle has coordinates (cosθ, sinθ). Watch how sin and cos change as the angle sweeps through all four quadrants.
Trigonometry: 8-10 questions every year.
JEE tests compound angles, trig equations, triangle properties.
Key formulas
Unit Circle & Trigonometry Formulas
Unit circle
cos = x, sin = y, tan = y/x
cos^2 + sin^2 = 1
Compound
sin(A+B) = sinAcosB + cosAsinB
cos(A+B) = cosAcosB - sinAsinB
Double angle
sin2A = 2sinAcosA, cos2A = cos^2A-sin^2A
cos2A = 2cos^2A-1 = 1-2sin^2A
Sine rule
a/sinA = b/sinB = c/sinC = 2R
R = circumradius
Step-by-step problem solving
How to solve maths problems in JEE
- Identify known sides/angles
- Sine rule: 2 angles + 1 side
- Cosine rule: 2 sides + included angle
- Use identities to simplify
Common JEE mistakes
What students get wrong
Quadrant signs
ASTC: All, Sin, Tan, Cos positive
Degrees vs radians
JEE uses radians. pi = 180 deg
General solution
sin x = 1/2: x = pi/6 + 2npi OR 5pi/6 + 2npi
Identity misuse
sin(A+B) != sinA + sinB
FAQs
Unit Circle & Trigonometry Questions
Remember unit circle?
Memorize 0,30,45,60,90. Use symmetry.
Solve trig equations?
Simplify, factor, general solution, apply interval
Sine vs cosine rule?
Sine: 2 angles+1 side. Cosine: 2 sides+included angle
Domain of tan?
All reals except pi/2 + npi