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trigonometric identities and algebraic methods, as necessary, to solve the follo

ID: 2920235 • Letter: T

Question

trigonometric identities and algebraic methods, as necessary, to solve the following trigonometric equation. Please identify all possible solutions by including all answers in 0. and indicating the remaining answers by using n to represent an integer. Round your answer to our decimal places, if necessary. If there is no solution, indicate "No Solution." 3cotz (x) ) ( cot 2 (x)-3 )-() Answer How to enter your answer Keypad Enter your answer in radians, as an exact answer when possible. Multiple answers should be separated by commas. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used O No Solution Submit Answer 12:1 3/18

Explanation / Answer

( 3 cot^2 x ) ( cot^2 x - 3 ) = 0

3 cot^2 x = 0

cot^2 x = 0

x = pi/2

cost^2 x - 3 = 0

cot^2 x = 3

cot x = +- sqrt 3

x = 5pi/6 , pi/6

solutions are

x = pi/6 , 5pi/6 , pi/2