Question
Solve the exact DE: (2xy+ycosxJdx+(r+y+sinxJy-0
Solve the exact DE: (2xy+ycosxJdx+(r+y+sinxJy-0


Answers
Find the exact value. $\operatorname{arccot}(0)$
Hello student in this problem we have to find the exact value of our costs zero. We can write this as Cause Universe of zero. So let X. Value B. T. No. The value of P must lie between zero to pi because this is the range of because universe X. Function and also the value of the cost of the should be zero. Now think of a value or an english being who's Course I Envelope zero and which lies between 0 to Pi. You can easily think that the answer of T satisfying the above two conditions is nothing but by where to because cost of fiber to Is the cost of 90° and that is zero. So the value of our cause zero is nothing. But fiber to this is the answer of this question. I hope you all understood. Thank you.
In this question, we have to find the exact value of the given in verse. Techno metric functions. So the function is are Hussein Needle. Now we can write our assigned zero s for signing worse Needle equals to co sign in verse. Now, in case of zero, we can die was signed Bye bye to value of consigned by by two is zero. Now this Kosan will be canceled out by coastline in verse and the value off our coastline zero is bye bye to and fiber to lies in the range off zero do Bye. Thank you.
Okay, we're evaluating another inverse trig expression here. In this case we have inverse coastline of negative one. So we're looking for an output here to be an angle. That's how endless functions work. So we're gonna go around our unit circle looking at the X coordinates, looking for a place where the X coordinate is negative one. We come around here, we find this right over here on the right hand side, and our answer is gonna be the angle here will work in radiance. So angle solve this problem will be pie. That's it. That's how we evaluate inverse trig functions.
Hello student in this problem we have to find the exact value of our caught -1. So First of all we can write this as caught in words of -1 and let its value B. P. So the value of teeth must lie between zero and pi. This is the range of court inverse X. Function. And also The Value of Court of Tea should be -1. Not think of an angle T which lies between zero and pi and whose court court engine value is negative one. So we can everything that the value of P. Satisfying these two criterias is three by by four because if we calculate court of three by before we can write this escort off by minus by by food and since caused caught off by ministry to is negative of course theater. So this is negative of course by before and that is negative of one. So the value of the satisfying here is nothing but 354 and therefore the answer of this question is 35 x four. I hope you all understood. Thank you.