Prove that: ${sin}^{2} 2 + {cos}^{2} 2 = 1$

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Solution

Consider the given expression.

${sin}^{2} 2 + {cos}^{2} 2 = 1$

L.H.S
$∵ {sin}^{2} A + {cos}^{2} A$

$∴ {sin}^{2} 2 + {cos}^{2} 2 = 1$

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$\frac{c o s 22^{\circ} - s i n 22^{\circ}}{c o s 22^{\circ} + s i n 22^{\circ}}$ equal to tanA, $0^{\circ}$ < A < $90^{\circ}$ . Find the value of A.

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Prove that: sin22+cos22=1

Consider the given expression. sin22+cos22=1 L.H.S∵sin2A+cos2A ∴sin22+cos22=1

Prove that: ${sin}^{2} 2 + {cos}^{2} 2 = 1$

Consider the given expression.

${sin}^{2} 2 + {cos}^{2} 2 = 1$

L.H.S
$∵ {sin}^{2} A + {cos}^{2} A$

$∴ {sin}^{2} 2 + {cos}^{2} 2 = 1$