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Fofino [41]
4 years ago
12

Evaluate cos(tan^-1(4)). Can someone help me for this one? I kinda confused. Please ASAP!!!!

Mathematics
1 answer:
dmitriy555 [2]4 years ago
5 0

Answer:

1 / √17

Step-by-step explanation:

to solve cos(tan^-1(4))

we break it into simpler terms

tan^-1(4) ------ these will be taken as an angle when dealing with cos

tan Ф = opposite / adjacent = 4 / 1 = 4

Using Pythagoras Theorem

Hypothenus ² = opposite² + adjacent ²

h² = 4² + 1²

h²  = 16 + 1

h² = 17  

a = √17

cos Ф = adjacent / hypothenus = 1 / √17

cos(tan^-1(4)) =  1 / √17

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1. h

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