Question

If tan 5 theta.tan 4 theta = 1, then find theta

Answer 1

tan5A .tan4A=1
tan5A = 1/ tan4A _____ (1/tanA =cotA)
tan5A=cot4A ______(cotA =tan(90-A)
tan5A=tan (90 - 4A)
5A=90 -4A
5A+4A=90
9A =90
A=10

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Answer 2

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