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TRIGONOMETRIC IDENTITIES AND EQUATIONS Solving basic trigonometric equation involving sine orFind all solutions to the equationcos 0 = -Write your answer in rdians ...

Question

TRIGONOMETRIC IDENTITIES AND EQUATIONS Solving basic trigonometric equation involving sine orFind all solutions to the equationcos 0 = -Write your answer in rdians in terms of T, and use the "or" button as necessany:Help with this notationExample: 0+2k1,kez or 0+kr,kez8LikezDcD

TRIGONOMETRIC IDENTITIES AND EQUATIONS Solving basic trigonometric equation involving sine or Find all solutions to the equation cos 0 = - Write your answer in rdians in terms of T, and use the "or" button as necessany: Help with this notation Example: 0 +2k1,kez or 0 +kr,kez 8 Likez DcD



Answers

Use the graphs of the sine and cosine functions to find all the solutions of the equation. $$\cos t=0$$

Right on this. Probably want to use this sign graph, which is already draft your force. Find all the solutions to the sine of t is equal to zero. No sign of sees your foot, is there? Yeah. That just means where is our Why value here? Zero. Okay, so where does this graph across the X axis? That same question, your notice across is at zero cross, is it? Pie crosses it. Two pi And those are just all of those points there where it crosses the X axis and then a negative pie negative to park. All right, so it just looks like all of the multiples of pi are going to be solutions. So means pie times in where in is an energy, it just means any multiple of pie.

To solve this equation for theta. Let's start by subtracting one from both sides. SoCo Santa equals negative one and then taking the inverse coastline of both sides. So data equals inverse co sign of negative one. Now let's picture this So on a unit circle Cosan would be negative one over here Pi radiance around the circle. So the data is pie and there are infinitely many other answers as well because you can go all the way around the circling back to the same spot. So that would be going to pie radiance and back. And you could do that infinitely many times. So we represent that as plus two pi ke.

We are going to do problem number 30 in discussion we provide all possible solutions of the given equation. This is a sign of d minus one. Multiplied to cost the this is equals to zero. Okay, so sign of team and as when this is a close to zero or cause rT this could be zero. Okay, so sign of t this will be equals to one or costs of zero causality. That is zero. So when consortia is going to be zero, Okay, when it is going to be any values that is pie by two. Okay. So to let's say that is by by two. Okay, bye bye. To cost function has been to be zero. Now when it is going to be one, if you just see when it is going to be one. So of course scientists going to be one at bye bye to only or at power to only at 502 or 352 And similarly we can just say for this also so we need to just try it. It's a solution. Okay, so let us just right 40 is the value is same in both cases. That bye bye to the cost function is being zero and at this one that is at five or two the weather is one. So what we can say about this function that is by by two. If we are just taking T equals two pi where to the risk coming here Now the next value at least T e s zero is three by by two. But three power to in this case is not considerable as three at signed three. Bye bye to that is equals two minus three by two. So we're going to take five by two as when uh value of P and another value of tears three private this one. Sure. Writing the the analytic question generalized solutions. So this is by by two plus two and by where N. Is a new teaser and another one will be three by by two plus two and pie. So this is another solution. So this is the answer in this case. That's all. Thank you.

We are going to do problem number 24. This question we're going to just solve the given equation. The given a question is signed off. The man is one multiplied to because of T this should be equals to zero. Okay, So if this two, if you just see this in two parts like scientific medicine and cost another. This should be zero to become the question zero. Or this should be easy to that question is should be zero. So we will see that separately. Like sign of thi this is equals to scientific minus one. This is a close to zero. R cost thi this is a close to zero. So sign of thi this is equal to one. So t here that is signing worse one. So this is going to be bye bye to Okay our Prime Minister by by two. So that becomes and this is private tour. But if you just see here the value like this uh of same function, then only one value is there. That is private to We'll see in Kosti. So in cost et will be If you just see the graph here, you just see the graph of course land. Then we will have some idea that what will the value here to be? This value that is zero. This is five by two or three by by two. So this is three by by two. Okay, so two values which we have that is by by 23. 5 by two. So we will have T equals two by by two plus two empires. Our one general solution, not three by by two plus three by were two plus two and by as ever. Second general solutions. So these are the answers. That's all. Thank you.


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