Find the value of 4 cosec square 18- 4 tan square 72
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4 cosec² 18° - 4 tan² 72°
==> 4 ( cosec² 18° - tan² 72° )
==> 4 ( cosec² 18° - cot² ( 90° - 18° ) ) [ tan² A = cot² ( 90° - A ) ]
==> 4 ( cosec² 18° - cot² 18° )
==> 4 × 1 [ cosec² A - cot² A = 1 ]
==> 4
The value is 4
Hope it helps :-)
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aahnapushpa15:
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