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tan2 theta * tan4 theta= 1 find the value of tan3 theta

tan2 theta * tan4 theta= 1
find the value of tan3 theta
 

Grade:10

1 Answers

Vikas TU
14149 Points
5 years ago
Dear Student,
tan2θtan4θ = 1.
tan6θ = (tan4θ + tan2θ)/(1 – tan2θtan4θ) -> infinity.
Therefore 6θ = π/2, and 3θ = π/4. Therefore tan3θ = 1.
 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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