sin a / sec a + tan a - 1 + cos a / cosec a + cot a - 1 = 1
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Prove:(Sin A/Sec A+tan A-1)+(Cos A/Cosec A+Cot A-1)=1
(SinA * cosA )/(1 + sinA - cosA) + (cosA* sinA)/(1 + cosA - sinA)
= (SinA * cosA) [1/(1 + sinA - cosA) + 1/(1 + cosA -sinA)]
On taking LCM and then solving
= 2 sinA cosA/ 2 sinA cosA
= 1 = RHS
Hence proved
Prove:(Sin A/Sec A+tan A-1)+(Cos A/Cosec A+Cot A-1)=1
(SinA * cosA )/(1 + sinA - cosA) + (cosA* sinA)/(1 + cosA - sinA)
= (SinA * cosA) [1/(1 + sinA - cosA) + 1/(1 + cosA -sinA)]
On taking LCM and then solving
= 2 sinA cosA/ 2 sinA cosA
= 1 = RHS
Hence proved
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