Solve 4 cos2 x cot2 x for all solutions 0 Lessthanorequalto

Solve 4 cos^2 x = cot^2 x for all solutions 0 Lessthanorequalto x

Solution

4cos^2x = cot^2x

4cos^2x = cos^2x/sin^2x

4 = 1/sin^2x

sin^2x = 1/4

sinx = 1/2

In the interval : x= pi/6 , 5pi/6

sin= -1/2

x= pi +pi/6 , 2pi-pi/6

= 7pi/6 , 11pi/6

Solution x= pi/6, 5pi/6 ,  7pi/6 , 11pi/6

 Solve 4 cos^2 x = cot^2 x for all solutions 0 Lessthanorequalto x Solution4cos^2x = cot^2x 4cos^2x = cos^2x/sin^2x 4 = 1/sin^2x sin^2x = 1/4 sinx = 1/2 In the

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