(iv)sin A1- cos Acosec A + cot A. please prove this using trigonometric identitiesi will mark the most appropriate one brainliest About the author Valentina
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. Hence, proved Reply
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.
Hence, proved