Solve the following equation Using the form theta 2piK to s

Solve the following equation. Using the form (theta + 2piK) to show exact solutions.

Sove the following eqaation. Uise the form+2k ta show exact salutions 10) tan(x) 3 cot(x) 4

Solution

tanx + 3cotx = 4
tanx + 3/tanx = 4

tan^2x + 3 = 4tanx
tan^2x - 4tanx + 3 = 0
(tanx - 1)(tanx - 3) = 0

x = arctan 1 + npi or x = arctan3 + npi

 Solve the following equation. Using the form (theta + 2piK) to show exact solutions. Sove the following eqaation. Uise the form+2k ta show exact salutions 10)

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