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Standard Values of Trigonometric Ratios

WHAT IS THE V...

Question

WHAT IS THE VALUE OF 2 COT^2 60

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Solution

cot 60 = $\frac{1}{\sqrt{3}}$

2 cot²60 = $2 \times {(\frac{1}{\sqrt{3}})}^{2} = \frac{2}{3}$

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6 {tan}^{2} θ + 54 {cot}^{2} θ + 18

I.

54

A . M . \geq G . M .

6 {tan}^{2} θ, 54 {cot}^{2} θ, 18

II.

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A . M . \geq G . M .

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III.

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{tan}^{2} θ = {cot}^{2} θ

θ

tan θ + cot θ = 2

{tan}^{2} θ + {cot}^{2} θ

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