General Identities MCQs 20 min Score: 0 Attempted: 0/20 Subscribe 1. Sin(α + β) is equal to: (A) Sin α Cos β – Cos α Sin β (B) Cos α Cos β – Sin α Sin β (C) Sin α Cos β + Cos α Sin β (D) Cos α Cos β + Sin α Sin β 2. Cos(α – β) is equal to: (A) Cos α Sin β – Sin α Cos β (B) Cos α Cos β + Sin α Sin β (C) Cos α Cos β – Sin α Sin β (D) Sin α Cos β + Cos α Sin β 3. tan(45° – x) is equal to: (A) (1 – tan x)/(1 + tan x) (B) (Cos x + Sin x)/(Cos x – Sin x) (C) (1 – cot x)/(1 + cot x) (D) (Cos x – Sin x)/(Cos x + Sin x) 4. cos(θ + π/2) is equal to: (A) Cos θ (B) –Cos θ (C) –Sin θ (D) Sin θ 5. Sin(90° – θ) is equal to: (A) Cos θ (B) Sin θ (C) –Cos θ (D) –Sin θ 6. Sin(x – π) is equal to: (A) –Cos x (B) Sin x (C) Cos x (D) –Sin x 7. tan(θ + π/2) is equal to: (A) Tan θ (B) Cot θ (C) –Tan θ (D) –Cot θ 8. Cos(θ + π) is equal to: (A) Cos θ (B) –Sin θ (C) Sin θ (D) –Cos θ 9. Cos(θ + 2π) is equal to: (A) Cos θ (B) Sin θ (C) –Cos θ (D) –Sin θ 10. tan(3θ + 2π) is equal to: (A) Cot θ (B) –Tan θ (C) Tan θ (D) –Cot θ 11. Sin α + β / Cos α Sin β is equal to: (A) tan α – tan β (B) tan α + tan β (C) Sin α + Sin β (D) Sin α – Sin β 12. Sin 2α is equal to: (A) 1 – Cos² α (B) Cos 2α (C) 2 Sin α Cos α (D) 2 Sin² α Cos α 13. 2 Cos² θ is equal to: (A) 1 – Cos 2θ (B) 1 + Cos 2θ (C) 1 + Sin θ (D) 1 – Sin θ 14. (Cos α + Cos β)(Cos α – Cos β) is equal to: (A) 2 Sin α Cos β (B) 2 Cos α Sin β (C) 2 Cos α Cos β (D) 2 Sin α Sin β – 15. Cos A – Cos B is equal to: (A) 2 Sin((A + B)/2) Sin((A – B)/2) (B) –2 Sin((A + B)/2) Sin((A – B)/2) (C) 2 Sin((A + B)/2) Cos((A – B)/2) (D) 2 Cos((A + B)/2) Sin((A – B)/2) 16. Sin(A + B) – Sin(A – B) is equal to: (A) –2 Sin A Sin B (B) 2 Cos A Cos B (C) 2 Sin A Cos B (D) 2 Cos A Sin B 17. Cos(A – B) – Cos(A + B) is equal to: (A) 2 Sin A Sin B (B) 2 Cos A Cos B (C) –2 Sin A Sin B (D) 2 Cos A Sin B 18. Sin 5θ – Sin 2θ is equal to: (A) 2 Sin 3θ Cos 2θ (B) 2 Cos 3θ Sin 2θ (C) 2 Cos 3θ Cos 2θ (D) 2 Cos 3θ Sin 2θ – 19. Sin 5θ + Sin θ is equal to: (A) 2 Sin 3θ Sin 2θ (B) 2 Cos 3θ Sin 2θ – (C) 2 Cos 3θ Sin 2θ (D) 2 Sin 3θ Cos 2θ 20. 2 Sin 6θ Cos 2θ is equal to: (A) Cos 8θ – Cos 4θ (B) Sin 8θ – Sin 4θ (C) Cos 8θ + Cos 4θ (D) Sin 8θ + Sin 4θ
