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Please help verify the identity showing the steps.
1/(sec?-tan?) = sec? + tan?
Thank you!
Solution
LHS: 1/(sect -tant)
Multiply sect +tant in both denominator and numerator.
= (sect +tant)/[(sect +tant)(sect -tant)]
= (sect +tant)/(sec^2t -tan^2t)
= (sect +tant)/1
= sect + tant ---> RHS

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  • 1. Please help verify the identity showing the steps. 1/(sec?-tan?) = sec? + tan? Thank you! Solution LHS: 1/(sect -tant) Multiply sect +tant in both denominator and numerator. = (sect +tant)/[(sect +tant)(sect -tant)] = (sect +tant)/(sec^2t -tan^2t) = (sect +tant)/1 = sect + tant ---> RHS