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# Inverse Trig Equation help required watch

1. Hi,

The question is:

Solve the equation: arcsin(x/x-1) + arctan(1/x+1) = pi/2

I have no idea on how to start it. If anyone can give a detailed solution or show some basic steps which would help me complete the question.

Thanks
2. (Original post by mathsRus)
Hi,

The question is:

Solve the equation: arcsin(x/x-1) + arctan(1/x+1) = pi/2

I have no idea on how to start it. If anyone can give a detailed solution or show some basic steps which would help me complete the question.

Thanks
look at Q50 and Q51 in the following PDF for similar ideas

PS
this is a standard equation that I come across with students at least once a year.
I strongly suspect that there should be a 2 in front of the arctan...
3. Thanks that really helped me but how are you suppose to figure it out in the first place?
4. (Original post by mathsRus)
Thanks that really helped me but how are you suppose to figure it out in the first place?
did you read my PS in post 2?
5. well I was just given that. But like even if there was a 2 given, I would have still struggled. Any advice on how to concrete these concepts in my brain?
6. (Original post by mathsRus)
well I was just given that. But like even if there was a 2 given, I would have still struggled. Any advice on how to concrete these concepts in my brain?
If you are asking me "how to see it", the only answer I can give you is practice.

I can sincerely tell you when I learned these at A level I was struggling too

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