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Exercise

$\left(tan^{\left(5\right)}a+tan^{\left(7\right)}a\right)sec^{\left(2\right)}a$

Step-by-step Solution

1

Multiply the single term $\sec\left(a\right)^2$ by each term of the polynomial $\left(\tan\left(a\right)^5+\tan\left(a\right)^7\right)$

$\tan\left(a\right)^5\sec\left(a\right)^2+\tan\left(a\right)^7\sec\left(a\right)^2$

Final answer to the exercise

$\tan\left(a\right)^5\sec\left(a\right)^2+\tan\left(a\right)^7\sec\left(a\right)^2$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
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  • Integrate by partial fractions
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Similar Questions Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

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

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

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

$csc^2x-1$

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.

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