If tan2θ = 1 - e2, then the value of secθ + tan3θ.cosecθ is? Options: A . &nbsp$${\left( {2 + {e^2}} \right)^2}$$ B . &nbsp$${\left( {2 - {e^2}} \right)^{\frac{1}{2}}}$$ C . &nbsp$${\left( {2 + {e^2}} \right)^{\frac{1}{2}}}$$ D . &nbsp$${\left( {2 - {e^2}} \right)^{\frac{3}{2}}}$$

If tan2θ = 1 - e2, then the value of secθ + tan3θ.cosecθ is?

Question

If tan2θ = 1 - e2, then the value of secθ + tan3θ.cosecθ is?

Options:

A . $${\left( {2 + {e^2}} \right)^2}$$

B . $${\left( {2 - {e^2}} \right)^{\frac{1}{2}}}$$

C . $${\left( {2 + {e^2}} \right)^{\frac{1}{2}}}$$

D . $${\left( {2 - {e^2}} \right)^{\frac{3}{2}}}$$

Answer: Option D

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