# Pre Calculus

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## Pre Calculus Video Lessons(246 video lessons)

Watch simple explanations of Pre Calculus and related concepts.

Test your understanding with practice problems and step-by-step solutions.

Find a basis for the solution space of the given homogeneous linear system. x_1 + 2x_2 + 7x_3 - 9x_4 + 31x_5 = 0\\ 2x_1 + 4x_2 + 7x_3 -11x_4 + 34x_5 = 0\\ 3x_1 + 6x_2 + 5x_3 - 11x_4 + 29x_5 = 0
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. 2\cos(90^{\circ} - z)
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. 5\sin2y
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. -2\sin(90^{\circ} - y)
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. 6\cos x
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. 2\cos(3x - 45^{\circ})
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. -3\sin 2x
For the expression below, replace x with 30 degrees, y with 45 degrees, and z with 60 degrees, and then simplify as much as possible. 4\cos(z - 30^{\circ})
Establish the following identity. sec^{2}\theta csc^{2} \theta = (tan \theta + cot \theta)^{2}
Simplify and check using a graphing calculator. (9 cos^2 alpha - 25)/(2 cos alpha - 2) * (cos^2 alpha - 1)/(6 cos alpha - 10)

## Pre Calculus Quizzes(332 quizzes)

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How Math Applies to Other Subjects
Linear Algebra Intro & Common Applications
Trig & Vectors
Writing & Graphing Standard Form Linear Equations
Composing Functions
Graphing Reflecting Functions
Simplifying Polynomial Functions
How to Define Asymptotes and Infinity
Law of Sines & Law of Cosines Practice

## Precalculus

Precalculus, a transitional mathematics course and not a discrete field, is designed to prepare students to learn calculus by presenting aspects of algebra and trigonometry through a calculus lens. Algebra focuses on variables in number and number sets with analysis on imaginary and complex numbers and mathematical functions associated with these. Some of the algebraic concepts explored in precalculus include slopes, graphs, polynomials, linear functions, and square roots. Trigonometry focuses on evaluation of triangles and lines and angles thereof. Some trigonometric concepts associated with precalculus include slopes, tangents, reflections and shifts, parabolas, rational functions, matrices, exponents, and logarithms. Precalculus functions, just as with calculus functions, are used in various scientific and mathematic fields, like chemistry, biology, and economics.

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