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# Prove the trigonometric identity $\tan\left(a\right)+\cot\left(a\right)=\sec\left(a\right)\csc\left(a\right)$

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true

##  Step-by-step Solution 

How should I solve this problem?

• Prove from LHS (left-hand side)
• Prove from RHS (right-hand side)
• Express everything into Sine and Cosine
• Exact Differential Equation
• Linear Differential Equation
• Separable Differential Equation
• Homogeneous Differential Equation
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
Can't find a method? Tell us so we can add it.
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Starting from the left-hand side (LHS) of the identity

$\tan\left(a\right)+\cot\left(a\right)$

Learn how to solve differential equations problems step by step online.

$\tan\left(a\right)+\cot\left(a\right)$

Learn how to solve differential equations problems step by step online. Prove the trigonometric identity tan(a)+cot(a)=sec(a)csc(a). Starting from the left-hand side (LHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. 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.

true

##  Explore different ways to solve this problem

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

###  Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.