What is cos x if tan x=6/11?Solve using right triangle
We have that tan x = 6/11.
tan x is equal to the opposite side/ adjacent side for the angle in a right triangle.
Using the Pythagorean theorem we calculate the length of the hypotenuse as sqrt ( 6^2 + 11^2) = sqrt ( 36 + 121) = sqrt 157.
Now, cos x = adjacent side/ hypotenuse
=> 11 / sqrt 157.
cos x = 11 / sqrt 157
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