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Question

Simplest form of: tan1(3 cosx4 sinx4 cosx+3 sinx)

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Solution

tan1(3cosx4 sinx4 cosx+3sinx)
tan1[4cosx(34sinxcosx)4cosx(1+34sinxcosx)]
Let tanθ=34
tan1[tanθtanx1+tanθtanx]
tan1(tan(θx))
θx=tan134x


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