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Yet another problem (1 Viewer)

DarkDude

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This one involves proving trig identities

prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x)
 

Nobuo Uematsu

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DarkDude said:
This one involves proving trig identities

prove (tanx + cotx - 1)(sinx + cosx) = (secx/cosec^2x) + (cosecx/sec^2x)
(tanx + cotx - 1)(sinx + cosx)
=(sinx\cosx+cosx\sinx-1)(sinx+cosx)
=(sin²x\cosx+sinx+cosx+cos²x\sinx-sinx-cosx)
=(secx\cosec²x+cosecx\sec²x)
 

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