Trigonometric Identities Worksheet with solution

  Q.1 Prove that √sec²θ + cosec²θ = tanθ+cotθ Solution Q.2 Prove that  Solution Q.3 Prove that  Solution Q.4 Prove that : (sinθ+cosecθ)²+(cosθ+secθ)²=(7+tan²θ+cot²θ) Solution Q.5 Prove that : Solution   Q.6 Prove that : Solution Q.7 Prove that :  Solution Q.8 If 1+sin²θ=3sinθcosθ then prove that tanθ=1 or Solution Q.9 Prove that:  Solution Q.10 Prove … Read more

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