Sin a /1+cos a+1+cos a/sin a=2 cosec a
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Answer:
Prove 1 + cosA/sinA + sinA...
Prove
sinA
1+cosA
+
1+cosA
sinA
=2cosecA
Medium
Answer
L.H.S. =
sinA
1+cosA
+
1+cosA
sinA
=
sinA(1+cosA)
(1+cosA)(1+cosA)+sinAsinA
=
(1+cosA)sinA
(1+cosA)
2
+sin
2
A
=
(1+cosA)sinA
1+cos
2
A+2cosA+sin
2
A
=
(1+cosA)sinA
1+2cosA+1
=
(1+cosA)sinA
2+2cosA
=
(1+cosA)sinA
2(1+cosA)
=2
sinA
1
=2cosecA
=R.H.S
Hence proved.
i hope it helps u!
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