SOLUTION: Is the inverse of cotangent opposite/adjacent? There is a question that says assuming an angle is in Quadrant I, find the exact value of cos(cot^-1 12/5)), but I don't know how to

Question 972564: Is the inverse of cotangent opposite/adjacent? There is a question that says assuming an angle is in Quadrant I, find the exact value of cos(cot^-1 12/5)), but I don't know how to go about figuring it out because I've never seen a cot^-1 before??? Thanks
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Is the inverse of cotangent opposite/adjacent? There is a question that says assuming an angle is in Quadrant I, find the exact value of cos(cot^-1 12/5)), but I don't know how to go about figuring it out because I've never seen a cot^-1 before???
***
cos(cot^-1 12/5))
This reads: cos of an angle (x) whose cot is (12/5) (inverse of cot function)
In other words, cot (x)=12/5
To solve the problem, just find out what angle x is, then take the cos of it.
In given problem, you are working with a (5-12-13) reference right triangle in quadrant I, which means cos x=12/13.
note: the inverse of a trig function is always an angle, whereas, the trig function is a numerical value.
RELATED QUESTIONS
here is the equation 7^2 + 24^2 = c^2 find Sin = Opposite/hypotenuse Cos =... (answered by solver91311,Edwin McCravy)

Use an inverse trigonometric function to write theta as a function of x. There is a... (answered by lwsshak3)

I have a right angled triangle whose opposite and adjacent sides are given. Opposite side (answered by Boreal)

Use an inverse trigonometric function to write theta as a function of x. There is a... (answered by stanbon,lwsshak3)

Find Sec (theta), Sin (theta), and Tan (theta). Where theta is the angle shown in the... (answered by rothauserc)

I am trying to evaluate Trig Functions determined by a point in Quadrant 1. When the... (answered by stanbon)

I need help in solving two missing sides (X and Y) of a right triangle. The hypotenuse... (answered by ramkikk66)

In the Dicovering Algebra: An Investigative approach, there is a question that says Find... (answered by jim_thompson5910,stanbon)

In the Dicovering Algebra: An Investigative approach, there is a question that says Find... (answered by Alan3354)