Trigonometric Ratios
1. Sine (sin): sin(θ) = opposite side / hypotenuse
2. Cosine (cos): cos(θ) = adjacent side / hypotenuse
3. Tangent (tan): tan(θ) = opposite side / adjacent side
4. Cotangent (cot): cot(θ) = adjacent side / opposite side
5. Secant (sec): sec(θ) = hypotenuse / adjacent side
6. Cosecant (cosec): cosec(θ) = hypotenuse / opposite side
Trigonometric Identities
1. Pythagorean Identity: sin^2(θ) + cos^2(θ) = 1
2. Sum and Difference Formulas:
1. sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
2. sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
3. cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
4. cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
3. Double Angle Formulas:
1. sin(2A) = 2sin(A)cos(A)
2. cos(2A) = cos^2(A) - sin^2(A)
Trigonometric Equations
1. Linear Equations: sin(θ) = a, cos(θ) = a, tan(θ) = a
2. Quadratic Equations: sin^2(θ) + a sin(θ) + b = 0, cos^2(θ) + a cos(θ) + b = 0
Heights and Distances
1. Height of an Object: h = AB sin(θ)
2. Distance between Two Objects: d = AB cos(θ)
These formulas are essential for solving trigonometric problems in Class 10 Math. Practice using them to become proficient!
