Answer:
1
Step-by-step explanation:
tan 45 = cos 45 / sin 45.
Since sin(x)=cos(90-x), cos 45 = sin 45, so tan 45 = 1
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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Answer:
the answer is 18 5/6 may i have a brilliant
Step-by-step explanation:
Answer:
x = - 39/148
y = -6/37
Step-by-step explanation:
substitute the given value of y into the equation to get 8x-13 (12x+3)=0
solve for x to get x= - 39/148
substitute the given value of x into 12x+3=y
12 x (-39/148) + 3 = y
-6/37 = y
That would be 644.8 / 31 = 20.8 feet / second
