History
About how many years can trigonometry be traced back?
About 4,000 years.
What is secθ in x, y, r form?
r / x
Prove that tanθ = sinθ / cosθ using x, y, r.
y / x = y / x
In what other unit in Functions are Identities and Proofs found in?
Logarithms
Who was the first to construct a table of values for a trigonometric function?
Hipparchus (190 BC - 120 BC)
What is the identity of cotθ? (Not x, y, r)
cosθ / sinθ
Prove that 2cos2θ - 1 = cos2θ - sin2θ without using x, y, r.
cos2θ - sin2θ OR 1 - 2sin2θ
Describe what occurs when finding the reciprocal of a logarithm.
The base and argument swap spots in the log as the numerator and denominator flip.
What Babylonian method of numeration gave rise to the practise of measuring angles?
The Babylonian's Base Sixty Method of Numeration
What is the identity of cos2θ fully factored?
(1 - sinθ)(1 + sinθ)
Prove that sec2θ = 1 + tan2θ without using x, y, r.
1 / cos2θ
Prove that 1 / log3a + 1 / log4a = 1 / log12a
loga12