The least values of cos2-sin2- is

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Range of Trigonometric Expressions

The least val...

Question

The least values of $({cos}^{2} θ + {sin}^{2} θ)$ is

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θ

\frac{π}{2}

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + s i n^{2} θ & c o s^{2} θ & 4 s i n 4 θ s i n^{2} θ & 1 + c o s^{2} θ & 4 s i n 4 θ s i n^{2} θ & c o s^{2} θ & 1 + 4 s i n 4 θ \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

\frac{1 + sin 2 θ + cos 2 θ}{1 + sin 2 θ - cos 2 θ} =

cot θ = \frac{1}{\sqrt{3}}

\frac{1 - {cos}^{2} θ}{2 - {sin}^{2} θ}

c o s e c Θ = \sqrt{5}

2 + \frac{1}{{sin}^{2} Θ} - \frac{{cos}^{2} Θ}{{sin}^{2} Θ}

sin 2 θ + {cos}^{2} θ + 4

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