Question

1. Consider the equation cos(2.13t)=0.5. Find the smallest positive solution in radians and round your answer to four decimal places.

2. Consider the equation tan(2.81t)=10.0. Find the smallest positive solution in radians and round your answer to four decimal places.

Answer 1

I think this is how you solve the problems?

1. cos^-1(0.5)/2.13 = 0.4916

2. tan^-1(10)/2.81 = 0.5235

Answer 2

cos (? )=0.5?

Answer 3

What do you mean?

Answer 4

on unit circle, which angle gives you cos (that angle ) = 0.5?

Answer 5

don't know?

Answer 6

No, the way I solved it was arccos(0.5)/2.13 = 0.4916

Answer 7

ok, it's up to you.

Answer 8

Does that look right?

Answer 9

What was the way you were going to do it?

Answer 10

Yes, you are correct

Answer 11

My way: cos (pi/3) = 0.5 = cos (2.13 t)
Hence pi/3 = 2.13 t
that gives \(t = (\pi/3)/2.13 = 0.4916\)

Answer 12

oh ok the pi/3 is the angle on unit circle?

Answer 13

would you do the same for number 2 with tan?

Answer 14

Nope, for tan, you need your method.

Answer 15

Does my tan answer look right?

Answer 16

Ok thank you very much for your time and help :)

Answer 17

It shows t = 29.996

Answer 18

is that in radians or degrees?

Answer 19

degree

Answer 20

ok I think 0.5235 is the answer in radians

Answer 21

0.5235 was correct, thank you for your time and help :)