find theta if given that sec theta minus 2 and tancube theta minus 1 equal to zero
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11th
Maths
Trigonometric Functions
Trigonometric Equations
If tan^2 \, \theta \, = \,...
MATHS
If tan2θ=1−a2, prove that secθ+tan3θcosecθ=(2−a2)3/2
November 22, 2019Pranya Champ
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We have
secθ+tan3θcosecθ
=secθ[secθsecθ+tan3θcosecθ]
=secθ[1+tan3θ⋅sinθcosθ]
=secθ[1+tan3θ×cotθ]
=1+tan2θ[1+tan2θ]
=[1+tan2θ
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