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Ilya [14]
3 years ago
14

What is the principal value cost of cos​−1 ​(0.69)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
We are asked to find the principal value of
cos ⁻¹ (0.69)
which is just the least positive angle
cos ⁻¹ (0.69) = 46.37°
Other values of 
cos ⁻¹ (0.69) is
46.37° - 180° n
where n is a whole number
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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
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Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

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Where y_0 is the initial height = 0 for this case

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Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

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Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

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s_0 = 43.45 ft/sec

So

X(t) = 43.45t

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Finally the vector position P is:

P = 87\^x + 75\^y ft

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