How do you find the exact value of cos(tan^-1 2)

Paloma Sanford

Paloma Sanford

Answered question

2022-10-13

How do you find the exact value of cos ( tan 1 2 )?

Answer & Explanation

Remington Wells

Remington Wells

Beginner2022-10-14Added 13 answers

A tangent of 2 1 is opposite 2, adjacent 1 so hypotenuse 2 2 + 1 2 = 5 , so cosine
of ± 1 5 or if we mean the principal value
cos ( arctan ( 2 ) ) = 1 5
Explanation:
Stop using the tan 1 ( x ) notation arctan ( x ) is better, and is the official standard.

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