Question

If cosecA +cot A=5 then cosec A-cotA=​

Answer 1

$\large\green{\textsf{✩ Verified Answer ✓ }}$

Following 3 formulas will be handy to solve this:

cos(A) = 2 (cosA/2)^2 - 1

sin(A) = 2 sin(A/2) cos(A/2)

tan(A) = 2tanA/2 / (1 - (tanA/2)^2)

cosecA + cotA = 11/2

=> 1/sin(A) + cos(A)/sin(A) = 11/2

=> 1/sin(A)(1 + cos(A)) = 11/2

=> (1 + cos(A)) / sin(A) = 11/2

Using eqn 1 above

=> 2(cosA/2)^2 / sin(A) = 11/2

Using eqn 2

=> 2(cosA/2)^2 / 2sin(A/2)cos(A/2) = 11/2

=> 1 / tan(A/2) = 11/2

=> tan(A/2) = 2/11

Using eqn 3

=> tan(A) = (4 / 11) (1 - 4/121)

= (4 / 11) (117 / 121)

= 4 * 121 / 11 * 117

= 44/117

$\bf\pink{\textsf{Answered By MrAkdu}}$

Answer 2

Answer:

PLEASE MARK ME BRAINLIEST