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Exercise

$sec41\cdot\:\:sec4\cdot\:\left(cos37+sec45\cdot\:\:sen30\right)$

Step-by-step Solution

1

Multiply the single term $\sec\left(41\right)\sec\left(4\right)$ by each term of the polynomial $\left(\cos\left(37\right)+\sec\left(45\right)\sin\left(30\right)\right)$

$\cos\left(37\right)\sec\left(41\right)\sec\left(4\right)+\sec\left(45\right)\sin\left(30\right)\sec\left(41\right)\sec\left(4\right)$

Final answer to the exercise

$\cos\left(37\right)\sec\left(41\right)\sec\left(4\right)+\sec\left(45\right)\sin\left(30\right)\sec\left(41\right)\sec\left(4\right)$

Try other ways to solve this exercise

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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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