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find the number of solutions of cosA+tanA=1,where A belongs to [0,2pi]-{pi/2,3pi/2}

find the number of solutions of cosA+tanA=1,where A belongs to [0,2pi]-{pi/2,3pi/2}

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student

The two solutions can be easily observed as A= 1 and 2pi
You can also get them by putting cosA in terms of tanA/2 and also tanA in terms of tanA/2

By the same above method you will get third root in between pi and 2pi.
So, Total 3 solutions would be there

Thanks

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