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| 1. |
Cos +tan =p |
| Answer» sec + tan = pSec = p - tansec^2 = (p - tan)^2sec^2 = p^2 + tan^2 - 2ptansec^2 - tan^2 = p^2 - 2ptanp^2 - 2ptan - 1 = 0(p^2 - 1)/2p = tanSec + (p^2 - 1)/2p = pSec = p - (p^2 - 1)/2p = (p^2 + 1 )/2pCos = 2p/(p^2+1)cos^2 = 4p^2/(p^2+1)^2sin^2 = 1 - 4p^2/(p^2+1)^2sin^2 =[ (p^2+1)^2 - 4p^2]/(p^2+1)^2sin^2 = (p^2–1)^2/(p^2+1)^2Sin = (p^2–1)/(p^2+1) | |