If secθ + tanθ = 2 + $$\sqrt 5 {\text{,}}$$ then the value of sinθ + cosθ is? Options: A . &nbsp$$\frac{3}{{\sqrt 5 }}$$ B . &nbsp$$\sqrt 5 $$ C . &nbsp$$\frac{7}{{\sqrt 5 }}$$ D . &nbsp$$\frac{1}{{\sqrt 5 }}$$

If secθ + tanθ = 2 + $$\sqrt 5 {\text{,}}$$ then the value of sinθ + cosθ

Question

If secθ + tanθ = 2 + $$\sqrt 5 {\text{,}}$$ then the value of sinθ + cosθ is?

Options:

A . $$\frac{3}{{\sqrt 5 }}$$

B . $$\sqrt 5 $$

C . $$\frac{7}{{\sqrt 5 }}$$

D . $$\frac{1}{{\sqrt 5 }}$$

Answer: Option A

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