Grade 10Trigonometry
tan2 theta * tan4 theta= 1find the value of tan3 theta
tan2 theta * tan4 theta= 1
find the value of tan3 theta
1 Answer
Vikas TU
Dear Student,
tan2θtan4θ = 1.
tan6θ = (tan4θ + tan2θ)/(1 – tan2θtan4θ) -> infinity.
Therefore 6θ = π/2, and 3θ = π/4. Therefore tan3θ = 1.
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)
Thapar University)
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