Question
Download Solution PDFWhich one of the following is a value of θ, if θ satisfies the equation tan 2θ tan 4θ - 1 = 0;
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
tan 2θ tan 4θ - 1 = 0,
Concept Used:
If tan A + tan B = 1
Then A + B = 900
Calculation:
According to the question
⇒ tan 2θ tan 4θ - 1 = 0
⇒ tan 2θ tan 4θ = 1
⇒ 2θ + 4θ = 900
⇒ θ = 150 =
∴ The value of θ is
Alternate Method We have to check for which value of θ,
The equation tan 2θ tan 4θ - 1 = 0 satisfies
Option (1): θ =
⇒ tan 2θ tan 4θ - 1 = tan 2(150) tan 4(150) - 1
⇒ tan 2θ tan 4θ - 1 = tan 300 tan 600 - 1
⇒ tan 2θ tan 4θ - 1 = (
∴ The value of θ is
Last updated on Jun 26, 2025
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