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tg a +cotg a =sec a . cosec a

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Final answer to the problem

$\tan\left(a\right)+\cos\left(a\right)\csc\left(a\right)^2$

Step-by-step Solution

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  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
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Math interpretation of the question

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

Learn how to solve simplify trigonometric expressions problems step by step online.

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

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Learn how to solve simplify trigonometric expressions problems step by step online. tg a +cotg a =sec a . cosec a. Math interpretation of the question. 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)}. Multiplying the fraction by \csc\left(a\right).

Final answer to the problem

$\tan\left(a\right)+\cos\left(a\right)\csc\left(a\right)^2$

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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.

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