If A = sin2θ + cos4θ for any value of θ, then the value of A is? Options: A . &nbsp$${\text{1}} \leqslant {\text{A}} \leqslant {\text{1}}$$ B . &nbsp$$\frac{3}{4} \leqslant {\text{A}} \leqslant {\text{1}}$$ C . &nbsp$$\frac{{13}}{{16}} \leqslant {\text{A}} \leqslant {\text{1}}$$ D . &nbsp$$\frac{3}{4} \leqslant {\text{A}} \leqslant \frac{{13}}{{16}}$$

If A = sin2θ + cos4θ for any value of θ, then the value of A is?

Question

If A = sin2θ + cos4θ for any value of θ, then the value of A is?

Options:

A . $${\text{1}} \leqslant {\text{A}} \leqslant {\text{1}}$$

B . $$\frac{3}{4} \leqslant {\text{A}} \leqslant {\text{1}}$$

C . $$\frac{{13}}{{16}} \leqslant {\text{A}} \leqslant {\text{1}}$$

D . $$\frac{3}{4} \leqslant {\text{A}} \leqslant \frac{{13}}{{16}}$$

Answer: Option B

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