Sum and difference of sin, cos & tan

The sum formula for sine is: $$\text{sin}(A + B) = \text{sin}(A)\text{cos}(B) + \text{cos}(A)\text{sin}(B)$$ .

The difference formula for sine is: $$\text{sin}(A - B) = \text{sin}(A)\text{cos}(B) - \text{cos}(A)\text{sin}(B)$$ .

The sum formula for cosine is: $$\text{cos}(A + B) = \text{cos}(A)\text{cos}(B) - \text{sin}(A)\text{sin}(B)$$ .

The difference formula for cosine is: $$\text{cos}(A - B) = \text{cos}(A)\text{cos}(B) + \text{sin}(A)\text{sin}(B)$$ .

The sum formula for tangent is: $$\text{tan}(A + B) = \frac{\text{tan}(A) + \text{tan}(B)}{1 - \text{tan}(A)\text{tan}(B)}$$ .

The difference formula for tangent is: $$\text{tan}(A - B) = \frac{\text{tan}(A) - \text{tan}(B)}{1 + \text{tan}(A)\text{tan}(B)}$$ .

$$\text{cos}(120)$$ .

$$\text{cos}(90)$$ .

$$\text{sin}(33)\text{cos}(42) + \text{cos}(33)\text{sin}(42)$$ .

$$\text{sin}(40)$$ .