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Algebra Baldor
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\frac{\left(1+ sen x + cos x\right)^2}{\left(tg x + senx\right)\left(cotg x +cos x\right)}

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Solution

Formulas

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Trigonometric Identities

· Reciprocal identity of tangent and cotangent
$\tan\left(\theta \right)\cot\left(\theta \right)=1$
$\cot\left(\theta \right)=\frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$
$\tan\left(\theta \right)=\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}$

Special Products

· Perfect Square Trinomial
$a^2+2ab+b^2=(a+b)^2$
· Perfect Square Trinomial
$ a^2-2ab+b^2= (a-b)^2$

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Similar Problems Solved

$factor\left(x^3+x^2-x-1\right)$

$factor\left(x^3-3x-2\right)$

$factor\left(x^2+8x+20\right)$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$\frac{2+tan^2x}{sec^2x}-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Used Formulas

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