How do you find the exact value of cos(arctan (5/2))

s2vunov

s2vunov

Answered question

2022-09-04

How do you find the exact value of cos ( arctan ( 5 2 ) )?

Answer & Explanation

Iademarco11

Iademarco11

Beginner2022-09-05Added 10 answers

Let A be an angle whose tangent = 5 2
Let A = arctan ( 5 2 )
Then tan A = 5 2
Imagine a right triangle with opposite side a=5 and adjacent side b=2. Compute hypotenuse c
c = a 2 + b 2
c = 5 2 + 2 2
c = 29
Then, the cosine function of A
cos A = b c = 2 29 = 2 29 29

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