Question

Precalculus I don't know how to do this

Answer 1

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Precalculus :

↝ Precalculus mathematics is mathematics that gives background for the mathematical concepts, problems, issues and techniques that appear in the calculus course.

↝ Precalculus is a continuation of previous foundations from Algebra 1. Geometry, and Algebra 2. Students use functions, equations, and limits to express generalizations and to analyze and understand a broad variety of mathematical relationships.

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Some Precalculus Formula :

Some of the important precalculus formulas which I know are given below:

`\red\star` Complex Numbers

• ➝ (a + ib) + (c + id) = (a + c) + i(b + d)
• ➝ (a + ib) - (c + id) = (a - c) + i(b - d)
• ➝ (a + ib) × (a - ib) = a² + b²

`\pink\star` Polynomials

• ➛ (a + b)² = a² + 2ab + b²
• ➛ (a - b)² = a² - 2ab+ b²
• ➛ (a + b)(a - b)= a² - b²
• ➛ (a+b+c)² =a²+b²+c²+2ab+2bc+2ac
• ➛ (a-b)³ = a³-b³-3ab(a-b)
• ➛ (a³+b³) = (a+b)(a²-ab+b²)
• ➛ a²+b² = (a+b)²-2ab
• ➛ (a³-b³) = (a-b)(a²+ab +b²)

`\blue\star` Trigonometry

• ➝ Pythagoras Theorem: Hypotenuse² = Perpendicular² + Base²
• ➝ sin θ = 1 / cosecθ (OR) cosec θ = 1 / sinθ
• ➝ cos θ = 1 / secθ (OR) sec θ = 1 / cosθ
• ➝ tan θ = 1 / cotθ (OR) cot θ = 1 / tanθ
• ➝ sin (A - B) = sin A cos B - cos A sin B
• ➝ cos (A + B) = cos A cos B - sin A sin B
• ➝ cos 2θ = 1 - 2 sin2θ

`\purple\star` Functions

• ➠ aᵐ× aⁿ = aᵐ+ⁿ
• ➠ (ab)ˣ = aˣ bˣ
• ➠ (aˣ)ʸ = aˣʸ

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Answer 2

`\Large\bold\red{Precalculus}`

Precalculus is a field of atudy which basically includes in maths.Also, it is a course from where you can learn Algebra and trigonometry in easy,intermediate and hard levels.

`\huge\bold\red{Formula}`

Now, talking about the formula, some examples are given below that may help you.....

`example \\ \\ f \: cosa + ad(a) \\ \\ = f \: cosa + ad(a) = f \: cosada + f \: ad(a) \\ = sina + \frac{ {x}^(2) }{2} + c`

If you can't see, scroll right to left side then you can see full solution.

You need to understand the solution and practice in integration.

`\Large\textsf{Hope \: It \: Helped}`