Prove
SinA/1-CosA = CosecA + CotA
5 answers
pl help
Assuming all are using angle A,
sin/(1-cos)
= sin(1+cos)/(1-cos)(1+cos)
= sin(1+cos)/(1-cos^2)
= sin(1+cos)/sin^2
= (1+cos)/sin
= csc+cot
sin/(1-cos)
= sin(1+cos)/(1-cos)(1+cos)
= sin(1+cos)/(1-cos^2)
= sin(1+cos)/sin^2
= (1+cos)/sin
= csc+cot
LHS:
SinA/(1-cosA) X 1+cosA/1+cosA ( applying the sure method , i.e rationalising)
SinA(1+cosA)/1XCos^2A
SinA(1+cosA)/sin^2A
SinA+sinACosA/Sin^2A
SinA/Sin^2A + SinA+CosA/Sin^A
CosecA+CotA =RHS (proved)
Reminder: ^ symbol means to the power
SinA/(1-cosA) X 1+cosA/1+cosA ( applying the sure method , i.e rationalising)
SinA(1+cosA)/1XCos^2A
SinA(1+cosA)/sin^2A
SinA+sinACosA/Sin^2A
SinA/Sin^2A + SinA+CosA/Sin^A
CosecA+CotA =RHS (proved)
Reminder: ^ symbol means to the power
In my previous response , where I said the sure method ... It will be surd method , it got autocorrected 🤣
And one more thing , in the second line it will be:
SinA(1+cosA)/1-cos^2A
Sorry for the mistakes guys 😢
SinA(1+cosA)/1-cos^2A
Sorry for the mistakes guys 😢