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$\frac{1+\sin\left(\theta\right)}{\cos\left(\theta\right)}+\frac{\cos\left(\theta\right)}{1+\sin\left(\theta\right)}=2\sec\left(\theta\right)$

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Solution

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Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Dimostrare dal LHS (lato sinistro)
  • Dimostrare da RHS (lato destro)
  • Esprimere tutto in seno e coseno
  • Equazione differenziale esatta
  • Equazione differenziale lineare
  • Equazione differenziale separabile
  • Equazione differenziale omogenea
  • Prodotto di binomi con termine comune
  • Metodo FOIL
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Starting from the left-hand side (LHS) of the identity

$\frac{1+\sin\left(\theta\right)}{\cos\left(\theta\right)}+\frac{\cos\left(\theta\right)}{1+\sin\left(\theta\right)}$

Learn how to solve identità trigonometriche problems step by step online.

$\frac{1+\sin\left(\theta\right)}{\cos\left(\theta\right)}+\frac{\cos\left(\theta\right)}{1+\sin\left(\theta\right)}$

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Learn how to solve identità trigonometriche problems step by step online. (1+sin(t))/cos(t)+cos(t)/(1+sin(t))=2sec(t). Starting from the left-hand side (LHS) of the identity. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators.

Final answer to the problem

true

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Similar Problems Solved

$tan\left(x\right)+cot\left(x\right)=sec\left(x\right)cosec\left(x\right)$

$\frac{1+\cos2x}{\sin2x}=\cot x$

$sec\left(x\right)-tan\left(x\right)sin\left(x\right)=\frac{1}{sec\left(x\right)}$

$\tan\left(x\right)+\cot\left(x\right)=\sec\left(x\right)\csc\left(x\right)$

$\tan\left(a\right)+\cot\left(a\right)=\sec\left(a\right)\csc\left(a\right)$

$\sec x-\sin x\tan x=\cos x$

$\frac{1-sin\left(x\right)}{cos\left(x\right)}=\frac{cos\left(x\right)}{1+sin\left(x\right)}$

Main Topic: Identità trigonometriche

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