Question

if Tan 5 theta × tan 4 theta equals to 1 then theta equals to​

Answer 1

tan5 θ x tan4 θ = 1

tan5 θ = 1/ tan4 θ _____ (1/tan θ = cot  θ)

tan5 θ = cot4  θ ______(cot  θ =tan(90 - \ θ)

tan5 θ = tan (90 - 4 θ)

5 θ = 90 - 4 θ

5 θ + 4 θ = 90

9 θ =90

θ = 10

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