SOLUTION: Find the value of cot(cos^-1 2/3)

Algebra.Com
Question 616286: Find the value of cot(cos^-1 2/3)
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
  1. Draw a right triangle
  2. Pick one of the acute angles. Let's call it angle A.
  3. Label the side adjacent to angle A as 2 and the hypotenuse as 3. Since cos is adjacent over hypotenuse, we have just made cos(A) = 2/3
  4. Since cot is adjacent over opposite, we need the opposite side. Use the Pythagorean Theorem to find the side opposite to angle A.
  5. will be adjacent over opposite, 2 over the answer from the previous step.
  6. At this point you may have an acceptable answer. But it will have a square root in the denominator. You may want/need to rationalize the denominator. Just multiply the numerator and denominator by the square root in the denominator and simplify.
RELATED QUESTIONS

Find the value cot(Cos-1 2/9) (answered by lwsshak3)
Given: sin(x) - cos(x) = 1/(5^1/2) find the value of tan(x) + cot(x) +... (answered by ikleyn)
find the exact value of the remaining trigonometric functions: 1. cotθ = 12/5,... (answered by lwsshak3)
If cosec A = 2, Then find value of cot A + (sin A / (1 + cos... (answered by lwsshak3,suds007)
if 3 cot theta =2, find the value of 4 sin theta - 3 cos theta divided by 2 sin theta + 6 (answered by Fombitz)
If sin(x)=-3/5 and cos(x)>0, find the value of... (answered by Alan3354)
If sin qita = 1/3 , the find the value of 2 cot^2 qita +... (answered by lwsshak3)
1.)Using radians, find the period of each function. Then graph. a.) y=cos(4theta+5pi/3)... (answered by stanbon)
Find the exact value of cos^-1(cos(4pi/3)). (answered by stanbon)