secA/sinA-sinA/cosA =cotA
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Answered by
4
Answer:
Step-by-step explanation:
SecA/SinA-SinA/CosA=cotA
1/cosA/SinA-SinA/CosA=CotA
1/SinACosA-sinA/cosA=cotA
cosA-sin²AcosA/sinAcos²A=cotA
cosA(1-Sin²A)/SinACos²A=cotA
Cos³A/SinACos²A=CotA
CosA/SinA=CotA
CotA=CotA...
Hence,LHS=RHS
Answered by
3
Step-by-step explanation:
secA/sinA - sinA/cosA= cotA
L.H.S.
secA/SinA - sinA/cosA
1/cosA/sinA - sinA/cosA
1/sinAcosA - sinA/cosA
cosA - sin²AcosA/sinAcos²A
cosA(1-sin²A) / sinAcos²A
cosA (Cos²A)/sinAcos²A
cos³A / sinAcos²A
cosA/sinA
So,
L.H.S. = R.H.S.
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