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Find the exact radian value. $$\cot ^{-1} \frac{\sqrt{3}}{3}$$
So we need to solve the following to go to the equation. Our equation is see kids are three x minus 23 over three is equal to zero. And our domain is all real numbers. So what should we do? Let's move the consent over. We get seconds of three eggs is equal to two. And let's also simplify the fraction we get to overrule three, which is equal to one over coastline of three X. Because it's second the flipping things over you get close enough three eggs. Is it called to route three over to that seeking? We don't care about anymore. So what should we do? Well, let's look at Albert during circle and see when do we get ruth? 3/2 for coastline? Well, it's one up here actually. Excuse me. It's one here at five or six at one down here at 11 pie over six. So. And also plus two point for each. So I can say plus minus by over six. Technically boss two I or two KPI That is a call to three X. Let's divide the three over. Are we going to get plus minus pi over 18 plus two thirds a high and as our solution.
Hello. We have problem number 15 and this we need to find the exact value of the expression. An inverse Route three x 3. Okay. We know that turn inwards then to equal to theta when Peter belongs to. Peter belongs to the interval minus by by two. Bye bye to open decade. So this is 10 universe, then bye bye six. So five or 6 should be, the answer has five or 6 belongs to this interval. Yeah.
We want to solve the equation. The sine of pi over three. Fada is equal to negative. One will notice that the sign is the Y coordinate and the sign is negative. One At three. Pi over two. But let's figure out the period of this function. The period is normally to pi over three. But you have to divide by our skill of Pi over three. It's a horizontal stretch of three over all. Right. So divided by power three is the same thing as multiplying by three over pi. Which cancels the pies, meaning the period is now six. And we also have to take this original angle three pi over two and consider the new period. Um Little scale factor of pi over three. So we have to divide by pi over three to multiply by three over pied the pistol, canceled. And we get nine over to. This means that our solution for data is 9/2 plus or minus the period of six and cycles.
Even our sign minus from TV by Do we can I care? Shining birth in the place of our side Signing those miners with pity by who? Now let San Kinka minus eBay And you know when two days where today's minus by by a TV Then you get the bill upside minus fiber. Tilly each fall to minus one, which means by killing miss minus 60 big. So they're magical, minus Y t. I know the big up picked up from here. We can I had signing burst minus one. Really? By for signing burst minus one kilobyte through minus pi market This is that journalism given question. Thank you.