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