if tan theta= 2-√3, then prove that tan^2 theta+ cot^2 theta=50
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Answer:
- `tan^2theta-sin^2theta=tan^2theta.sin^2theta.
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11th
Maths
Trigonometric Functions
Trigonometric Equations
Solve tanθ + tan 2θ + √(3)t...
MATHS
Solve tanθ+tan2θ+
3
tanθtan2θ=
3
MEDIUM
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ANSWER
tanθ+tan2θ+
3
tanθtan2θ=
3
tanθ+tan2θ=
3
(1−tanθtan2θ)
1−tanθtan2θ
tanθ+tan2θ
=
3
tan3θ=
3
=tan
3
π
⇒ 3θ=nπ+
3
π
, nϵZ
θ=
3
nπ
+
9
π
, nϵZ
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