Answer :
-4/3
For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?
The value of tan(2x) is equal to -4/3
Please let me know if you have any other questions
The value of tan(2x) will be -1.333.
What is a trigonometric function?
The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
Given that,
cosx = 1/√5
x = 63.435°
Now tan2x = tan2(63.435)
tan(126.87) =-1.333
Hence the correct answer to the given question will be -1.33.
For more information about the trigonometric function
brainly.com/question/1143565
#SPJ2