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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 RHS (right-hand side)
• Prove from LHS (left-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 right-hand side (RHS) of the identity

$\sec\left(a\right)\csc\left(a\right)$

Learn how to solve integrals of rational functions problems step by step online.

$\sec\left(a\right)\csc\left(a\right)$

Learn how to solve integrals of rational functions problems step by step online. Prove the trigonometric identity tan(a)+cot(a)=sec(a)csc(a). Starting from the right-hand side (RHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{1}{\cos\left(a\right)} \times \frac{1}{\sin\left(a\right)}.

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: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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