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The value of "cosec".(pi)/(18)-4 sin""(...

The value of `"cosec".(pi)/(18)-4 sin""(7pi)/(18)` is ____________

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The correct Answer is:
2

`cosec 10^(@) - 4 sin 70^(@) = (1- 4 sin 70^(@) sin 10^(@))/( sin 10^(@))`
`" " = (1-2( cos 60^(@) - cos 80^(@)))/( sin 10^(@))`
` " " = (1-2((1)/(2) - sin 10^(@)))/( sin 10^(@)) =2 `
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CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Numerical)
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