Problem 2: For each part below, you\'ll be asked to () give the value of the inv

Question

Problem 2: For each part below, you'll be asked to () give the value of the inverse trigonometric expression (has one and only answer-need to apply quadrant rules for inverse trig). (i) the solution to the related equation on [0, 2) (all four quadrants of the unit circle), and (iii) the form of all solutions. a) i. Give the value of tan"(-1) ii. Solve the equation tan x=-1 on [O,2) . iii. Give all solutions to the equation tan x =-1. b) Give thevalue°f cost) i. Give the value of cos- ii. Solve the equation cos x-_ on [0, 2) . ii. Give all solutions to the equation cosx

Explanation / Answer

1. tan-1(-1) = tan-1(tan(-pi/4)) =-pi/4

ii. tan x=-1

x=tan-1-1 = 3pi/4 , 7pi/4

iii. tan x=-1

x=tan-1-1 =pi n -(pi/4)

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