the value of ✓1-cos/✓1+cos=?
Answers
Step-by-step explanation:
✓1-cos/✓1+cos=?
1−1−cosA
1−cosA1+cosA =
= (1−cosA)(1+cosA)
= (1−cosA)(1+cosA)(1+cosA) 2 =
= sin2A
= sin2A(1+cosA) =
= (cosecA+cotA) 2
2 =∣cosecA+cotA∣
2 =∣cosecA+cotA∣=cosecA+cotA (as given)
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = x
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = x
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0this means that sinA > 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0this means that sinA > 0this is possible only in first and second quadrants
Step-by-step explanation:
1−1−cosA
1−cosA1+cosA =
= (1−cosA)(1+cosA)
= (1−cosA)(1+cosA)(1+cosA) 2 =
= sin2A
= sin2A(1+cosA) =
= (cosecA+cotA) 2
2 =∣cosecA+cotA∣
2 =∣cosecA+cotA∣=cosecA+cotA (as given)
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = x
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = x
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0this means that sinA > 0
2 =∣cosecA+cotA∣=cosecA+cotA (as given)let cosecA + cotA = xso we get |x| = xthis is possible only when x ⩾ 0so cosecA + cotA ⩾ 0this means that sinA > 0this is possible only in first and second quadrants