While determining the number of solutions the equation can have , we use these formulas . General solutions to some of the standard equations Equation Solution Sin θ Θ = nπ , n ∈ Z Cos θ Θ = (2n+1) π /2 , n ∈ Z Tan θ = 0 Θ = n π , n ∈ Z Sin θ = 1 Θ = (4n+1) π /2 , n ∈ Z Sin θ = -1 Θ = (4n-1) π /2 , n ∈ Z Cos θ = 1 Θ = 2nπ , n ∈ Z Cos θ = -1 Θ = (2n+1 )π, n ∈ Z Cot θ = 0 Θ = (2n+1 ) π /2 , n ∈ Z EQUATIONS OF ANOTHER TYPES 1. When the equation is of the form sin θ = sin α General solution to the equation is given by θ = n π + (-1) n , n ∈ Z 2. When the equation is of the form cos θ = cos α ...