I think it is B, since x goes right 4.5 times and y goes up 3 times.
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
Answer:
60 km/h
Step-by-step explanation:
At the reduced speed, the trip takes 28 +14 = 42 minutes to drive 42 km. That's 1 km per minute, or 60 km in 60 minutes.
The reduced speed is 60 km/h.
Answer: 0.6
Step-by-step explanation:
m = 6/10
m = 0.6