Prove that
cos A ÷ sec A - tan A = 1 + sin A
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Answer:
ANSWER
L.H.S. =
1+sinA
cosA
+tanA
=
1+sinA
cosA
+
cosA
sinA
=
(1+sinA)cosA
cos
2
A+sinA(1+sinA)
=
(1+sinA)(cosA)
cos
2
A+sinA+sin
2
A
=
(1+sinA)cosA
1+sinA
=
cosA
1
=secA= R.H.S.
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