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Explore the quadratic formula, angles in parallel lines, trigonometric identities, and triangle rules in this comprehensive review of mathematics, geometry, and trigonometry concepts. Enhance your understanding of key mathematical principles.
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Mathematics, Geometry and Trigonometry Review - Quadratic Formula: If ax2+ bx+ c = 0 then
The angle αareequal between the transverse and • two parallel line: 180 - α α α α α
For a line and its normal, the angle α are equal: V 1 1 2 α α α H V α 2 H
Trigonometric Identities: • In the right triangle: Sin Ө = A/C or A = C sin Ө C cosӨ = B/C or B = C cosӨ A Ө tan Ө = A/B or tan Ө = sin Ө / cosӨ B C2 = A2 + B2
In any triangle (general): (cosine rule ) C2 = A2 + B2 – 2AB cosβ A β B α Ө C (sine rule )