Question

question 11 of 12 select the true statement about triangle abc. a. sin c = sin a b. sin c = cos b c. sin c = tan a d. sin c = cos a

Explanation:

Step1: Identify right triangle sides

Right-angled at B: BC=5, AB=12, AC=13 (hypotenuse).

Step2: Calculate sin C

sin C = opposite/hypotenuse = AB/AC = 12/13.

Step3: Calculate sin A, cos B, tan A, cos A

sin A=BC/AC=5/13; cos B=cos 90°=0; tan A=BC/AB=5/12; cos A=AB/AC=12/13.

Step4: Check options

sin C=12/13=cos A.

Answer:

D. sin C=cos A