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Solving: $\left(\tan\left(2\right)^{-1}+\csc\left(\tan\left(3\right)^{-1}\right)^2\right)\sec\left(\right)^2$
Solve instead: $\sec^2\left(\tan^{-1}\left(2\right)+\csc^2\left(\tan^{-1}\left(3\right)\right)\right)$

Exercise

$\sec^2\left(\tan^{-1}\left(2\right)+\csc^2\left(\tan^{-1}\left(3\right)\right)\right)$

Step-by-step Solution

1

Multiply the single term $\sec\left(\right)^2$ by each term of the polynomial $\left(\tan\left(2\right)^{-1}+\csc\left(\tan\left(3\right)^{-1}\right)^2\right)$

$\tan\left(2\right)^{-1}\sec\left(\right)^2+\csc\left(\tan\left(3\right)^{-1}\right)^2\sec\left(\right)^2$

Final answer to the exercise

$\tan\left(2\right)^{-1}\sec\left(\right)^2+\csc\left(\tan\left(3\right)^{-1}\right)^2\sec\left(\right)^2$

Try other ways to solve this exercise

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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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