Trigonometric Function Homework: Satellite Orbit Calculations

In summary, the conversation discusses a satellite's path as modeled by the function H(t)= 350 sin 28∏(t-25) + 400, with time measured in days. The questions asked are: A) determining the period of the satellite, B) calculating how many minutes it will take to orbit the Earth, and C) finding the number of orbits per day. The correct answer to C is (3600*24)*(1/14), as there are 3600 seconds in an hour and 24 hours in a day. The person making the mistake realizes their error and acknowledges it as an honest mistake.
  • #1
zaddyzad
149
0

Homework Statement



A satellite follows a path that may be modeled by the function H(t)= 350 sin 28∏(t-25) + 400

Time is measured in days.

Homework Equations





The Attempt at a Solution



A) Determine the period of the satellite: 2∏*1/28∏ = 1/14 days
B) How many minutes will it take the satellite to orbit earth: ?
C) How many orbits per day will the satellite make?: 14 times in 1 day


Shouldn't the answer to C be (3600*24)*(1/14) ? This doesn't match the answer key.
 
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  • #2
Where did the 3600 come from?
 
  • #3
3600 mins in an hour
 
  • #4
zaddyzad said:
3600 mins in an hour

You're confusing mins with seconds.
 
  • #5
wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.
 
  • #6
How embarrassing haha.
 
  • #7
zaddyzad said:
wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.

An honest mistake :biggrin:
 

Related to Trigonometric Function Homework: Satellite Orbit Calculations

What is a Trigonometric Function?

A trigonometric function is a mathematical function that relates the angles of a right triangle to the lengths of its sides. These functions include sine, cosine, tangent, cotangent, secant, and cosecant.

How are Trigonometric Functions used in real life?

Trigonometric functions are used in various fields such as engineering, physics, astronomy, and navigation. For example, they are used to calculate the height of buildings, the trajectory of a projectile, and the position of stars and planets.

What is the difference between sine and cosine?

Sine and cosine are two of the six trigonometric functions. Sine represents the ratio of the opposite side to the hypotenuse in a right triangle, while cosine represents the ratio of the adjacent side to the hypotenuse. In other words, sine is the y-coordinate and cosine is the x-coordinate of a point on the unit circle.

What is the period of a trigonometric function?

The period of a trigonometric function is the length of one complete cycle of the function. For example, the period of sine and cosine is 2π, while the period of tangent, cotangent, secant, and cosecant is π.

How do I solve trigonometric equations?

To solve a trigonometric equation, you can use the properties and identities of trigonometric functions, such as the Pythagorean identity and the double angle formulas. You may also need to use algebraic techniques to simplify the equation and isolate the variable.

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