To simplify the expression TG(π/2 + α) - cos(3/2π - α), we first need to recall the trigonometric identities:
Now, substituting these identities into the expression, we get:
cot(α) - (-sin(α))= cot(α) + sin(α)
Therefore, the simplified expression is cot(α) + sin(α).
To simplify the expression TG(π/2 + α) - cos(3/2π - α), we first need to recall the trigonometric identities:
TG(π/2 + α) = cot(α)cos(3/2π - α) = -sin(α)Now, substituting these identities into the expression, we get:
cot(α) - (-sin(α))
= cot(α) + sin(α)
Therefore, the simplified expression is cot(α) + sin(α).