You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an alternative browser.
You should upgrade or use an alternative browser.
Trig problem need help with isolating variable
- Thread starter jwazz
- Start date
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
Suppose you were given a value of t and asked to evaluate the right hand side. You would do exactly what that says: subtract 6 then multiply by \(\displaystyle \frac{\pi}{4}\) then take the cosine, then multiply by 2.4 and, finally, add 9.2.11.6 = 9.2 + 2.4 cos [π/6 (t - 6)]
How do I isolate t? please help its been awhile since I learnt how to do this so if you could do it in steps so I can follow that would be very helpful thanks!
To solve for t, do the opposite of each step, in the opposite order! That is, start by subtracting 9.2 from both sides, then divide both sides by 2.4, then take the inverse cosine, divide both sides by \(\displaystyle \frac{\pi}{6}\), and, finally, add 6 to both sides.
Suppose you were given a value of t and asked to evaluate the right hand side. You would do exactly what that says: subtract 6 then multiply by \(\displaystyle \frac{\pi}{4}\) then take the cosine, then multiply by 2.4 and, finally, add 9.2.
To solve for t, do the opposite of each step, in the opposite order! That is, start by subtracting 9.2 from both sides, then divide both sides by 2.4, then take the inverse cosine, divide both sides by \(\displaystyle \frac{\pi}{6}\), and, finally, add 6 to both sides.
Thanks that's a great way of explaining it... it helped a lot!