Unit Circle
Trigonometric Identities
Sum and Difference Formulas and Double and Half Angle Formulas
Law of Sines and Law of Cosines
Math Growth
100
sin(45°):
What is √2/2
100
The Pythagorean Identities:
What is sin²θ + cos²θ = 1, tan²θ + 1 = sec²θ , cot²θ + 1 = csc²θ
100
The Double-Angle Formula for Sine:
What is sin(2θ) = 2sin(θ) cos(θ)
100
Law of Cosines:
What is a² = b² + c² - 2bc cos(A)
100
How I improved test scores:
What is studying more before tests, and doing test corrections
200
cos(π/6):
What is √3/2
200
The Even Identities:
What is cos(-θ) = cos(θ) and sec(-θ) = sec(θ)
200
The Difference Formula for Cosine:
What is cos(α-β) = cosα cosβ + sinα sinβ
200
The following Angles and Sides for △ABC: (A = 50°, C = 75°, c = 24 cm)
What is B = 55°, a = 19.0 cm, b = 20.4 cm
200
How I improved learning of topics:
What is taking more complete notes and focusing more on subjects I didn't understand as well
300
cos(210°):
What is -√3/2
300
The Odd Identities:
What is sin(-θ) = -sin(θ), tan(-θ) = -tan(θ), csc(-θ) = -csc(θ), and cot(-θ0 = -cot(θ)
300
Establish that: cos(θ)[tan(θ)+cot(θ)] = csc(θ)
What is csc(θ) = csc(θ)
300
The following Angles and Sides for △XYZ: (X = 60°, Z = 35°, y = 18 ft)
What is Y = 85°, x = 15.6 ft, z = 10.4 ft
300
I maintained a 90% and above throughout all of the first semester of Pre-Calc: (True or False)
What is True
400
sin(7π/4):
What is -√2/2
400
Establish that: sec(-θ) cot(-θ) = csc(-θ)
What is -csc(θ) = -csc(θ)
400
Double Geopardy:If cos(β) = 0.2 within [3π/2, 2π]: Find cos(2β)
What is cos(2β) = -.92
400
The following Angles and Sides for △ABC: (B = 45°, a = 2 m, c = 4 m)
What is A = 28.65°, C = 106.35°, b = 2.95 m)
400
Zacheriah's favorite technique in ensuring a good grade on most tests:
What is making note-cards
500
tan(4π/3):
What is √3
500
Establish that: sin²(-θ) + cos²(-θ) = 1
What is sin²(θ) + cos²(θ) = 1
500
If cos(α) = 0.6 within [0,π/2]: Find tan(2α)
What is tan(2α) = -4.43
500
The following Angles and Sides for △XYZ: (Z = 38°, x = 20 in, y = 15 in)
What is X = 93.5°, Y = 48.5°, z = 12.3 in
500
Zacheriah's highest grade on a test: (In all of high-school math)
What is 105%
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