How do you solve #tanx-2-3cotx=0#?

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How do you solve #tanx-2-3cotx=0#?

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Answer 1 · 2016-07-26T10:29:39

In # 0<=x<=2pi ; # Solution are # x=71.6^0,251.6^0,135^0,315^0#

Explanation:

#tanx-2-3cotx=0 or tanx-2-3/tanx=0 or tan^2x-2tanx-3=0 or(tanx-3)(tanx+1)=0;:.tanx-3=0 or tanx +1 =0; either tanx=3 or tanx = -1 :. x=tan^-1 (3)= 71.6^0(1dp) , (180+71.6)=251.6^0 # When #tanx=-1; x=tan^-1(-1) =135^0,315^0:. 0<=x<=2pi ; # Solution are # x=71.6^0,251.6^0,135^0,315^0#[Ans]

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How do you solve #tanx-2-3cotx=0#?

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