`cot(arctan(5/8))` Find the exact value of the expression. (Hint: Sketch a right triangle.)

Textbook Question

Chapter 4, 4.7 - Problem 62 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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`cotx=1/tanx`

Given,

=> `cot(tan^-1(5/8)) `

We know that `cotx=1/tanx`

Therefore,

=> `1/(tan(arctan(5/8))) `

tan and arctan cancel

=> `1/(5/8) `

Simplify

=> `8/5 `

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