Question

the general solution of the equation tan 5x - cot 4x = 0 is​

Answer 1

$\sf\small\blue{Given:-}$

• Equation tan 5x - cot 4x = 0 .

$\sf\small\blue{Solution:-}$

• Tan5x . Tan4x=1

• or. tan5x = 1/ tan4x. = cot 4x

• or. tan5x= tan(π/2–4x)

• or. 5x = nπ. + π/2 -4x

• or. 9x = nπ. + π/2. =(2n+1).π/2

✈︎✈︎or. x= (2n+1).π/18 .

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