← JEE Class JEE
Trigonometry
Chapter Overview
Trigonometric functions and graphs. Compound, double, triple, half-angle formulas. Sum-to-product and product-to-sum identites. Trigonometric equations and general solutions. Inverse trigonometric functions and their properties. Solutions of triangles: sine and cosine rules, bearing and height-distance. Properties of triangles: Pedal triangle, excentral triangle.
Topics Covered
- Trig Functions and Graphs
- Compound Angles
- Multiple and Submultiple Angles
- Trig Identities
- Trig Equations
- Inverse Trig Functions
- Solutions of Triangles
- Properties of Triangles
Key Formulas
sin(A+B) = sinA cosB + cosA sinB
sin 3A = 3 sinA - 4 sin3 A
cos 3A = 4 cos3 A - 3 cosA
sin C + sin D = 2 sin((C+D)/2) cos((C-D)/2)
Real-World Applications
Applications: JEE problem solving, physics (waves, oscillations), navigation.
Study Tips
Tip: Master compound angle formulas first
Tip: Practice inverse trig ranges
Tip: Learn triangle properties