Question

Find the values of the sine, cosine, and tangent for angle A

Answer 1

Answer: sin A = 2√13 / 13

cos A = 3√13 / 13

tanA = 2/3

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

Answer 2

Option a is the correct answer

Explanation: