numberof real root of the equation secx+cosx=15 1/2

numberof real root of the equation secx+cosx=151/2


1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago

Please follow the steps to reach to the solution.

Convert all terms into COS. Form a quadratic in COS and then find its roots.
You will see that one of the roots will be grater than 1 which is not possible.

Now the no of solutions will depend upon the given interval of x. In ( 0 to 2pi ) we have 2 solutions.

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