Proving Trigonometric identities Worksheet[With Solution]

Problem: 01 Prove that: √sec²θ + cosec²θ=tanθ+cotθ Solution : LHS= √sec²θ + cosec²θ =√(1+tan²θ)(1+cot²θ)                  [Using identity : sec²θ=1+tan²θ and cosec²θ=1+cot²θ] = √(tan²θ + cot²θ + 2)  = √(tan²θ + cot²θ +2tanθ.cotθ)  [tanθ.cotθ=1] =√(tanθ+cotθ)² =tanθ+cotθ = RHS    Hence proved  Problem: 02 Prove that : +sinθcosθ=1  Solution:  LHS= … Read more