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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:
210 sq in
Step-by-step explanation:
Box dimensions: 5 x 5 x 8
2 faces: 5 x 5 -> 2 * 5 * 5 = 50
4 faces: 5 x 8 -> 4 * 5 * 8 = 160
Total = 50 + 160 = 210 sq in
Answer:
Step-by-step explanation:
slope, m = 0.1m/4m = 0.025
Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N
actual effort = 300 N
efficiency
= potential energy out / actual energy in
= 225 N / 300 N = 0.75
