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| 1. |
CosA/1-TanA+sinA/1-cotA=cosA+sinA |
| Answer» LHS=CosA/1-tanA+sinA/1-cotA→CosA/1-sinA/cosA+sinA/1-cosA/sinA→cosA/cosA-sinA/cosA+sinA/sinA-cosA/sinA→cos^2A/cosA-sinA+sin^2A/sinA-cosA→cos^2A-sin^2A/cosA-sinA→(cosA+sinA)(cosA-sinA)/(cosA-sinA)→cosA+sinA(HENCE PROVED) | |