sec^a cosec^a -3seca coseca =tan^a+ cot^a
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Step-by-step explanation:
Answer
We need to prove
1+cosA
1−cosA
=cosecA−cotA
By taking L.H.S. =
1+cosA
1−cosA
=
1+cosA
1−cosA
×
1−cosA
1−cosA
=
1−cos
2
A
(1−cosA)
2
=
sin
2
A
(1−cosA)
2
=
sinA
1−cosA
=
sinA
1
−
sinA
cosA
=cosecA−cotA= R.H.S.
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