Prove- cos 2A -1 1-cos 2A - 2 A

We know, #160; cos 2A=1 2sin ^2 A=2cos^2A 1 ⇒cos 2A+11 cos 2A=2cos^2A 1+11 (1 2sin^2A)=2cos^2A2sin^2 A =cos^2Asin^2 A=^2 A ...

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Sum of Trigonometric Ratios in Terms of Their Product

Prove: cos 2...

Question

Prove:
$\frac{cos 2 A + 1}{1 - cos 2 A} = {cot}^{2} A$

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\frac{{sin}^{2} A}{{cos}^{2} A} + \frac{{cos}^{2} a}{{sin}^{2} A} = \frac{1}{{sin}^{2} A {cos}^{2} A} - 2

\frac{s i n^{2} A}{c o s^{2} A} + \frac{c o s^{2} A}{s i n^{2} A} = \frac{1}{s i n^{2} A c o s^{2} A} - 2

{cos}^{2} A + c o s^{2} (A + 120) + {cos}^{2} (A - 120) = \frac{3}{2}

Prove that
${cos}^{2} A + {cos}^{2} (A + \frac{π}{3}) + c o s^{2} (A - \frac{π}{3}) = \frac{3}{2}$

In a $△$ ABC, prove that ${cos}^{2} A + {cos}^{2} (A + \frac{π}{3}) + {cos}^{2} (A - \frac{π}{3}) = \frac{3}{2}$

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