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Evaluate: `4/(Cot^2 30^0) +1/(Sin^2 30^0) -2 Cos^2 45^0 - Sin^2 0^0` - Mathematics

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प्रश्न

Evaluate:

`4/(cot^2 30^0) +1/(sin^2 30^0) -2 cos^2 45^0 - sin^2 0^0`

उत्तर

On substituting the values of various T-ratios, we get:

`4/(cot^2 30^0) +1/(sin^2 30^0) -2 cos^2 45^0 - sin^2 0^0`

=`4/(sqrt(3))^2 + 1/(1/2)^2 -2xx(1/sqrt(2))^2-(0)^2`

=`4/3 +1/(1/4) -2xx1/2-0`

=`4/3 +4-1`

=`4/3+3=(4+9)/3=13/3`

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अध्याय 6: T-Ratios of some particular angles - Exercises

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 6 T-Ratios of some particular angles
Exercises | Q 9
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