Answer: sin A = 2√13 / 13
cos A = 3√13 / 13
tanA = 2/3
Step-by-step explanation:
from the diagram;
adjacent= 36
opposite =24
hypotenuse = AB (not given)
To get the hypotenuse, we use the pythagoras theorem;
hyp^2 = opp^2 + adj^2
= 36^2 + 24^2
=576 + 1296
= 1872
hyp = √1872
= √144 × 13
=√144 × √13
= 12√13
hyp = 12√13
adj=36 opp=24 hyp = 12√13
sinA = opp/hyp
= 24 / 12√13
= 2 / √13
we rationalise
=2√13 / 13
sinA = 2√13 / 13
cosA = adj / hyp
= 36 / 12√13
= 3 / √13
we rationalise
= 3√13 / 13
cos A = 3√13 / 13
tan A = opp/ adj
= 24/36
divide the numerator and denominator by 12
= 24÷12 / 36÷12
= 2/3
tanA = 2/3
