MAC1147 - Trigonometry/Pre-Calculus

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What is the range of the tangent function?
(-♾️,♾️)

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TermDefinition
What is the range of the tangent function?
(-♾️,♾️)
What is the range of the sine function?
[-1,1]
On a unit circle, what is sine & cosecant?
x & 1/x (remember: (x, y) = (cos, sin))
On a unit circle, what is cosine & secant?
y & 1/y (remember: (x, y) = (cos, sin))
On a unit circle, what is tangent & cotangent?
y/x & x/y (remember: (x, y) = (cos, sin))
What is the formula for sin (α + β)?
sin α cos β + cos α sin β
What is the formula for sin (α - β)?
sin α cos β - cos α sin β
What is the formula for cos (α + β)?
cos α cos β - sin α sin β
What is the formula for cos (α - β)?
cos α cos β + sin α sin β
What is the formula for tan (α + β)?
tan α + tan β _________________ 1 - tan α tan β
What is the formula for tan (α - β)?
tan α + tan β _________________ 1 + tan α tan β
What is the formula for continuous compounding? (An unknown/indefinite amount of time)
A = P₀eʳᵗ AKA: The "Pert" formula Where: A = Actual amount P = Principal amount r = rate t = time
What is the formula for continuous compounding? (A known amount of time)
A = P ( 1 + r / n )^n t Where: A = Actual amount P = Principal amount r = rate n = known time [e.g., "in days" mean n = 365) t = time