SOLUTION: Find the exact value, if possible without a calculator. If it is not possible, explain why. {{{tan^-1(sin(-5pi/2))}}}

Algebra.Com
Question 1178878: Find the exact value, if possible without a calculator. If it is not possible, explain why.
Answer by ikleyn(52921)   (Show Source): You can put this solution on YOUR website!
.

Geometrically, the angle    is the same as  .



Therefore,   =  = -1.


arctan(-1) = .                     ANSWER


 = .            ANSWER

Solved, answered and explained.



RELATED QUESTIONS

Find the exact value of the expression, if possible. sin^-1... (answered by jim_thompson5910)
if tan(a) = -2, find the exact value of sin(a) and specify each possible... (answered by MathLover1,ewatrrr,ikleyn,MathTherapy)
Find the exact value of the​ following, without using a calculator. sin(sin^-1... (answered by ikleyn)
tan 5pi/3 and i need to determine the exact value of the expression without a calculator. (answered by richard1234)
how do i find the exact value of sin(tan^-1 3/8) without using a... (answered by Edwin McCravy)
Find the exact value of the expression. Do not use a calculator. Cos^-1[cos(-5pi/4)].... (answered by stanbon)
How to find the exact values without a calculator?: 1/sin^2 33 degrees - 1/ tan^2 33... (answered by sudhanshu_kmr)
Find the exact value of the expression, if it is defined... (answered by rothauserc,Edwin McCravy)
Find the exact value of the expression sin^-1(tan 5pi/4) (answered by KMST)