# Trig equations with ranges that come in the form of pi -- C2

Watch
Announcements
Thread starter 4 years ago
#1
So I was doing some questions in C2 and the question was tanx=5 giving all answers in the domain 0 less than/equal to x less than 2pi.

I'm not quite sure how I would approach this questions
Any help would be appreciated 0
reply
4 years ago
#2
(Original post by nisha.sri)
So I was doing some questions in C2 and the question was tanx=5 giving all answers in the domain 0 less than/equal to x less than 2pi.

I'm not quite sure how I would approach this questions
Any help would be appreciated Exactly the same as if the angles were given in degrees but you work out and give the solutions in radians.

If sinx=0.5 with your calculator operating in radians x=pi/6 and the second solution would be found by pi-pi/6=5pi/6

Posted from TSR Mobile
0
reply
Thread starter 4 years ago
#3
(Original post by gdunne42)
Exactly the same as if the angles were given in degrees but you work out and give the solutions in radians.

If sinx=0.5 with your calculator operating in radians x=pi/6 and the second solution would be found by pi-pi/6=5pi/6

Posted from TSR Mobile
Oh ok we havent covered this at school so that's probably why So if it was sinx=0.5 what would you type into your calculator ? Just pi/6 but what would that give you ?
0
reply
4 years ago
#4
(Original post by nisha.sri)
Oh ok we havent covered this at school so that's probably why So if it was sinx=0.5 what would you type into your calculator ? Just pi/6 but what would that give you ?
It doesn't make sense to tackle this question when you don't know anything about radian measure of angles.
If you want to learn more you will find useful tutorials on examsolutions.net
If it was sinx = 0.5 how would you find out what x equals if the problem was in degrees?
You would do the exact same thing if the problem was in radians but how your calculator works in radian measure depends on the calculator.

Posted from TSR Mobile
0
reply
4 years ago
#5
(Original post by nisha.sri)
So I was doing some questions in C2 and the question was tanx=5 giving all answers in the domain 0 less than/equal to x less than 2pi.

I'm not quite sure how I would approach this questions
Any help would be appreciated Kudos for reading ahead!

You just need to know how to convert from one to the other.
Degrees to radians eg 45 degrees: divide by 180 and multiply by pi
Radians to degrees eg pi/4: divide by pi and multiply by 180

So with your question, you can solve either in degrees or radians. Either way, take the inverse of each side. If you set the calculator to radians you get the answer directly but you could, if you wanted, obtain the answer in degrees and then convert.

The normal rules (and pitfalls!) apply though. You need to think how many solutions there are over the selected range - there will be the same number for radians as there are for degrees.

After a while, radians become second nature. Some of your questions will require you to make an adjustment to the range and you'll know straightaway (for example) that 450 degrees is 5/2 pi &c!
1
reply
X

### Quick Reply

Write a reply...
Reply
new posts Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

Yes (96)
27.51%
No (253)
72.49%

View All
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.