Trigonometric Functions Class 11 Maths Notes – Formulas & Quick Revision

Trigonometric Functions Class 11 ka sabse formula-heavy chapter hai — identities, compound angles aur trigonometric equations sab yahan. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.

Important Formulas & Concepts — Trigonometric Functions

• sin(A±B) = sinA·cosB ± cosA·sinB
• cos(A±B) = cosA·cosB ∓ sinA·sinB
• tan(A±B) = (tanA ± tanB)/(1 ∓ tanA·tanB)
• sin2A = 2sinA·cosA = 2tanA/(1+tan²A)
• cos2A = cos²A − sin²A = 1 − 2sin²A = (1−tan²A)/(1+tan²A)
• sin3A = 3sinA − 4sin³A; cos3A = 4cos³A − 3cosA
• sinC + sinD = 2sin((C+D)/2)cos((C−D)/2)
• General solutions: sinθ = 0 → θ = nπ; cosθ = 0 → θ = (2n+1)π/2; tanθ = tanα → θ = nπ + α

Quick Revision Points

• Allied angles: sin(π−θ) = sinθ, cos(π−θ) = −cosθ — ASTC rule
• sin aur cos ki range [−1, 1]; period 2π; tan ka period π
• Values table (0°, 30°, 45°, 60°, 90°) ratna zaroori hai
• C-D formulas product-to-sum conversion mein use hote hain
• General solution mein n ∈ Z likhna mat bhoolo

FAQ

Itne formulas kaise yaad hon?

Complete PDF ka ek-page colour-coded formula sheet — related formulas ek saath grouped hain.

Trigonometric equations kaise solve karun?

Pehle standard form mein lao, phir general solution formula — PDF mein solved patterns hain.

Explore more: free sample notes, free calculators aur interactive simulators.