In triangle ABC, right angled at B,AB=15cm,BC=8cm. determine;. 1)sinA,

1.	In triangle ABC, right angled at B,AB=15cm,BC=8cm. determine;. 1)sinA,cosA. 2)sinC,cosC
Answer» Given: In triangle ABC, right-angled at B, AB = 15 CM BC = 8 cm To determine: (1) sinA, cosA (2) sinC, COSC Solution: We have to first find the length of the hypotenuse i.e., AC by using the Pythagoras theorem: $AC^2 = AB^2 + BC^2$ $\implies AC = \sqrt{AB^2 + BC^2}$ substituting the AB = 15 cm & BC = 8 cm $\implies AC = \sqrt{15^2 + 8^2}$ $\implies AC = \sqrt{289}$ $\implies AC = 17\:cm$ (1). Finding the value of SIN A and cos A: From the figure attached below, Considering the angle A, we have BC = perpendicular = 8 cm AC = hypotenuse = 17 cm AB = base = 15 cm ∴ $\bold{sin \:A = \frac{perpendicular}{hypotenuse} = \frac{8}{17}}$ and ∴ $\bold{cos\:A = \frac{base}{hypotenuse} = \frac{15}{17}}$ (2). Finding the value of sin C and cos C: From the figure attached below, Considering the angle C, we have BC = base = 8 cm AC = hypotenuse = 17 cm AB = perpendicular = 15 cm ∴ $\bold{sin \:C = \frac{perpendicular}{hypotenuse} = \frac{15}{17}}$ and ∴ $\bold{cos\:C = \frac{base}{hypotenuse} = \frac{8}{17}}$ ------------------------------------------------------------------------------------ Also View: In triangle ABC, right angle at B, if AB = 12 cm and BC = 5 cm, find 1) Sin A and TAN A, 2) Sin C and Cot C. brainly.in/question/2284157 In triangle abc right angled at b ab=7cm and (ac-bc) =1cm. Find the value of sin c and cosc. brainly.in/question/9063841 In r8ght triangle abc, angle b=90°ab=6cm bc=8cm,find ac brainly.in/question/1546222