5) Find the value of Theta, if
3 tan^2 (theta-10)=1
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Answer:
3
(tan2θ+tan3θ)=1−tan2θtan3θ
⇒
1−tan2θtan3θ
tan2θ+tan3θ
=
3
1
⇒tan5θ=
3
1
⇒tan5θ=tanπ/6
⇒5θ=nπ+π/6⇒θ=
5
1
(nπ+π/6)=(n+
6
1
)π/5
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