Cosec theta / cosec - 1 + cosec theta / cosec theta + 1 = 2 sec theta
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Step-by-step explanation:
cosec/cosec-1 + cosec/cosec+1
=(1/sin)×(sin/1-sin) + (1/sin)×(sin/1+sin)
=1/1-sin + 1/1+sin
=1+sin+1-sin/1-sin²
=2/cos²
=2sec²
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