CBSE Class 10 Maths HACK HANDBOOK
Chapters: Trigonometry & Quadratic Equations
Complete Formula Sheet + NCERT + PYQs + HOTS + Tricks
TRIGONOMETRY - COMPLETE
All Formulas
sinθ = P/H, cosθ = B/H, tanθ = P/B
cosecθ = 1/sinθ, secθ = 1/cosθ, cotθ = 1/tanθ
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
tanθ = sinθ/cosθ, cotθ = cosθ/sinθ
Complementary:
sin(90-θ)=cosθ
cos(90-θ)=sinθ
tan(90-θ)=cotθ
Trigonometric Table
0° 30° 45° 60° 90°
sin: 0 1/2 1/√2 √3/2 1
cos: 1 √3/2 1/√2 1/2 0
tan: 0 1/√3 1 √3 not defined
NCERT Solved Examples (Key Types)
1. Prove identities using LHS → RHS method
2. Evaluate trig expressions using table
3. Find missing values using identities
PYQs (IMPORTANT)
1. Prove: (sinθ + cosθ)^2 = 1 + 2sinθcosθ
2. Evaluate: tan45° + 2cos60°
3. Height-distance problems (very common)
Chapters: Trigonometry & Quadratic Equations
Complete Formula Sheet + NCERT + PYQs + HOTS + Tricks
TRIGONOMETRY - COMPLETE
All Formulas
sinθ = P/H, cosθ = B/H, tanθ = P/B
cosecθ = 1/sinθ, secθ = 1/cosθ, cotθ = 1/tanθ
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
tanθ = sinθ/cosθ, cotθ = cosθ/sinθ
Complementary:
sin(90-θ)=cosθ
cos(90-θ)=sinθ
tan(90-θ)=cotθ
Trigonometric Table
0° 30° 45° 60° 90°
sin: 0 1/2 1/√2 √3/2 1
cos: 1 √3/2 1/√2 1/2 0
tan: 0 1/√3 1 √3 not defined
NCERT Solved Examples (Key Types)
1. Prove identities using LHS → RHS method
2. Evaluate trig expressions using table
3. Find missing values using identities
PYQs (IMPORTANT)
1. Prove: (sinθ + cosθ)^2 = 1 + 2sinθcosθ
2. Evaluate: tan45° + 2cos60°
3. Height-distance problems (very common)
