Sec (90 -A) sinA = cot (90-A). tan( 90- A)
2 answers:
L.H.S=sec(90-A)·sinA
=cosecA·sinA ;[sec(90-A)= cosecA]
=1/sinA·sinA ;[cosecA=1/sinA]
=1
R.H.S=cot(90-A)·tan(90-A)
=tanA·cotA ;[cot(90-A)=tanA, tan(90-A)=cotA]
=tanA·1/tanA ;[cotA=1/tanA]
=1
thus, L.H.S=R.H.S
[Proved]
Step-by-step explanation:
sec(90-A) . Sin A = cot (90-A) . tan(90-A)
cosec X sinA = tanA X cotA
1/sinA X sinA = tanA X 1/tanA
1=1
Hence proved
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