SOLUTION: Evaluate each of the following.In each case,explain your thinking. cos^(-1)(cos(-π/6))

Algebra.Com
Question 546264: Evaluate each of the following.In each case,explain your thinking.
cos^(-1)(cos(-π/6))

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Evaluate each of the following.In each case,explain your thinking.
cos^(-1)(cos(-π/6))
**
The given problem asks to find the cos of an angle whose value is cos (-π/6)
Value of cos(-π/6)=√3/2 (in quadrant IV were cos>0)
cos^(-1)(cos(-π/6))
=cos^(-1)(√3/2)=π/6
remember: Domain of inverse cosine is (0,π), (quadrants I or II)

RELATED QUESTIONS

Evaluate the following: 7*((cos(π /3)+isin(π /3)/√3*(cos(π... (answered by Alan3354)
Evaluate the following: {{{7*(cos(π /3)+isin(π /3))/√3*(cos(π... (answered by Alan3354)
solve the equation sin(y+π/6)cos(y+π/6)= cos^2(y+π/6), for... (answered by algebra hello,ikleyn)
Given that cos(t) = 1/2 and 0 ≤ t ≤ π/2 find each of the following.... (answered by srinivas.g)
For the following expression, find the value of y that corresponds to each value of x,... (answered by stanbon)
Explain why the equations tan x = 1/3 and cos x =1/3 each have two solutions in the... (answered by ikleyn)
Please review my work for trigonometry THANKS? Find the exact values of each of the five (answered by MathLover1)
Use the given information to evaluate each expression. (Enter your answers in exact... (answered by lwsshak3)
Evaluate: 7*((cos( π/3)+isin( π/3))/√3(cos( π/6)... (answered by AnlytcPhil)