Question

If 5 cos A = 6 sin A ; Evaluate : 12 sin A - 3 cos A / 12 sin A + 3 cos A​

Answer 1

Step-by-step explanation:

Given :- 5 cosA = 6 sinA

tanA = 5/6 = लम्ब / आधार

कर्ण = ( आधार² + लम्ब²)½

= (36 + 25)½

= 61½

sinA = लम्ब / कर्ण = 5/(61)½

cosA = आधार / कर्ण = 6/(61)½

12 sinA - 3 cosA /12 sinA + 3 cosA

=(12*5/61½ - 3*6/61½)/(12*5/61½ + 3*6/61½)

=(60-18/61½)/(60+18/61½)

=(42/61½)/(78/61½)

= 42/78

= 21/39 = 7/13