Question

Use the given figure to find i)sin x ii) cos y iii) 3 tan x - 2 sin y + 4cos y

Answer 1

Answer:

1. 8/17, 2. 3/5, 3.12/5

Step-by-step explanation:

the total base length = $\sqrt{17^{2} -8^{2} }$ = 15m

1.sin x = 8/17 (opposite/hypotenuse)

hypotenuse of smaller triangle is $\sqrt{8^{2}+6^{2} }$ = 10m

2.cos y = 6/10 = 3/5 (adjacent/hypo)

3. tan x = 8/15 (opp/adj), sin y = 8/10 = 4/5, so

3*8/15-2*4/5+4*3/5=8/5-8/5+12/5=12/5