Question

Can someone help me with a Trig question please?

Answer 1

yes

Answer 2

sure

Answer 3

@mccheese420 @aspenquincey12 you guys still there?

Answer 4

@ranga please help me

Answer 5

For (1), put t = 0 and evaluate H(t).

Answer 6

For part 2) you need to find the period of the cosine function.
For the general cosine (or sine) function: Acos(Bt + C) + D,
the period is 2pi / B

Answer 7

For part 3), the lowest value of a cosine function is -1.
Replace cos(pi/14)t with -1 in the H(t) equation to find the lowest value of H(t).

Answer 8

@ranga thank you so much! I will do as you say and update you on my progress in a few minutes.

Answer 9

For part 1, am I supposed to get H(0)=31?

Answer 10

When t = 0, cos(pi/14)t becomes cos(0) which is 1.
H(0) = 25 * 1 + 31 = ?

Answer 11

56

Answer 12

Yes. 56 feet.

Answer 13

Ok so she is at 56 feet before the ride begins. For Part 2, the period is 2pi/1 which is just 2pi right?

Answer 14

Period = 2pi / (coefficient of t) = 2pi / (pi / 14) = 2pi * 14 / pi = ?

Answer 15

28?

Answer 16

For Acos(Bt + C) + D, the period is 2pi/B where B is the coefficient of t.

Answer 17

Yes, 28 seconds.

Answer 18

So it takes 28 seconds to make one revolution?

Answer 19

Yes.

Answer 20

And for part 3, should it be H(28)=25(-1)(28)+31?

Answer 21

No. The maximum value of a cosine function is +1. The minimum value of a cosine function is -1.
Replace the ENTIRE cos(pi/14)t with -1 (No need to put any value for t.)

Answer 22

Oh ok. So H(t)=25(-1)+31

Answer 23

yes. simplify.

Answer 24

6?

Answer 25

Yes, 6 feet is the answer to part 3.

Answer 26

Thank you so much. Would you be able to guide me through some more if you have the time?

Answer 27

I can perhaps do one more but please post it as a separate question and close this one out.

Answer 28

No problem