Answer:
x=6 y=-3
Step-by-step explanation:
Answer:
5/3 < x < 10
Step-by-step explanation:
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
<span>The correct option is: A. f(x) = 4sin(x − π/2), because:
</span>
1. When you evaluate x=π/2 in the function f(x) = 4sin(x − π/<span>2), you obtain:
</span>
f(π/2) = 4sin(π/2− π/2)
f(π/2) = 4sin(0)
f(π/2) = 4(0)
f(π/2) = 0 (As you can see in the graphic)
2. If you evaluate x=π in the same function, then you have:
f(π) = 4sin(π− π/2)
f(π) = 4sin(π/2)
f(π) = 4 (As it is shown in the graphic)
Answer:
Speed of car = 80km/hr. Distance covered in 2 hours = 2 * 80 = 160 km.
Step-by-step explanation:
brainliest pls
