Question

COSA = 3/5
find 2 tanA - cotA
______________
3 secA + 4 cosecA​

Answer 1

Answer:

23/120

Step-by-step explanation:

cos A = 3/5 ; sec A = 5/3

By pythagoras theorem, P = 4, B = 3, H = 5

sin A = 4/5 ; cosec A = 5/4

tan A = 4/3 ; cot A = 3/4

=> ( 2tanA - cotA ) / ( 3secA + 4cosecA )

=> (8/3 - 3/4) / (5 + 5) =  (23/12) / 10 = 23/120

Answer 2

Step-by-step explanation:

If cos A = 3/5, then sin A = 4/5, tan A = 4/3,

cosec A= 5/4, sec A=5/3, cot A = 3/4

2tan A-CotA 2×4/3 -3/4

_____________ = __________ =

3secA+4cosec A 3×5/3+4×5/4

23/120= 0.1916