Question

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Prove that,
$\\ \sf \: \cos^{2} x + cos {}^{2} (x + \frac{\pi}{3} ) + cos {}^{2} (x - \frac{\pi}{3} ) = \frac{3}{2}$


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Answer 1

Answer:

\begin{gathered} \\ \sf \: \cos^{2} x + cos {}^{2} (x + \frac{\pi}{3} ) + cos {}^{2} (x - \frac{\pi}{3} ) = \frac{3}{2}\end{gathered}

cos

2

x+cos

2

(x+

3

π

)+cos

2

(x−

3

π

)=

2

3

Answer 2

Answer:

Question :-

Prove that,

$\sf \: \cos^{2} x + cos {}^{2} \bigg(x + \dfrac{\pi}{3}\bigg) + cos {}^{2} \bigg(x - \dfrac{\pi}{3}\bigg) = \dfrac{3}{2}$

Given :-

➙$\sf \: \cos^{2} x + cos {}^{2} \bigg(x + \dfrac{\pi}{3}\bigg) + cos {}^{2} \bigg(x - \dfrac{\pi}{3}\bigg)$

Find Out :-

➙ $\sf \dfrac{3}{2}$

Solution :-

[Please refer that attachment for your answer]

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