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Please help me out in solving this question |
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Answer» ONG>ANSWER: to PROVE : (sin∅ + cosec∅)²+(cos∅ + sec∅)²=7+ tan²∅ + cot²∅ proof: LHS= (sin∅ + cosec∅)²+(cos∅ + sec∅)² = sin²∅ + cosec²∅ + 2sin∅cosec∅ + cos²∅ + sec²∅ + 2cos∅sec∅ =sin²∅ + cos²∅ + sec²∅ + cosec²∅ + 2sin∅.1/sin∅ + 2cos∅.1/sec∅ =1 + tan²∅ + 1 + cot²∅ + 1 +2 +2 (sin²∅+ cos²∅=1)and (sec²∅= tan²∅ + 1) and (cosec²∅= cot²∅ + 1) =7 +tan²∅ + cot²∅ hence proved HOPE this helps:)
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