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Prove that √sec square Q + cosec square Q =tanQ + cot Q |
| Answer» Sec²∅ =tan²∅+1Cosec²∅= Cot²∅+1After adding both, we getSec²∅+Cosec²∅=tan²∅+Cot²∅+2Sec²∅+Cosec²∅=tan²∅+Cot²∅+ 2tan∅.cot∅Sec²∅+cosec²∅=( tan∅+cot∅) ²So we can write √(sec²∅+cosec²∅) = tan∅+cot∅ Hence proved | |