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[-13 Points]DETAILSLARPCALC1O 5.2.017_Verify the identity: (Simplify at each step.) sin t csc( tan tsin t csc( 2(sin t)(sinsin ttan tNeed Help?Road It...

Question

[-13 Points]DETAILSLARPCALC1O 5.2.017_Verify the identity: (Simplify at each step.) sin t csc( tan tsin t csc( 2(sin t)(sinsin ttan tNeed Help?Road It

[-13 Points] DETAILS LARPCALC1O 5.2.017_ Verify the identity: (Simplify at each step.) sin t csc( tan t sin t csc( 2 (sin t) (sin sin t tan t Need Help? Road It



Answers

$3-12=$ Simplifying Trigonometric Expressions Write the trigonometric expression in terms of sine and cosine, and then simplify.
$$t \text { csc } t$$

Okay, So writing this in terms of signing coastline, we get sign the team over one minus co sign and C minus Corsican 50 which is one over sign T. Okay, so I want to combine these two fractions, so I'm gonna multiply item by their respective on denominators. So we have one minus coastline. Vex T cause entity everyone. My pudding. And over here, you have Simon over 70. Okay, so the writing that yet? Signing square T. Okay, sign what times? One minutes, Costa. See? Minus one, minus co. Sign dirty all over Serenity. What if I buy one minus causing Auntie. Okay, so I'm going to combine the traction into one. So we get sine squared. T minus one plus closing guilty all over. Fine tea. Send one. Minus co sanity. No. So it seems like we can't Marie simplify anything yet, so I'm gonna motor. Want to point out that the nominee and see if there's anything we can do? Forget sign. Where? Team Minus one first co sign. Let's see. All over sci fi, right? Sign it. Seen cook sanity. Well, that didn't really help. It seems that we actually have What? Your guide and B for sine squared team. I know that science Gertie is equal to one minus cosign. See, then help us. So let's not use this more to put out a nominee here and use the old one. So see, if I replace signs were two with one minus co sign pretty when it's one close cosign pretty wasn't seeing other X C over a sign. Let's see why one minus goes in Pretty, um, these ones actually cancel it, and we're left with 10 negative closing. It's good eating. Plus, Hussein T Okay, sign 30 times, one when it's causing. So I'm going to no, back there in the top. So we have co sign. See? You know Costa quickly. Plus one all over. Sign sexy. One minus. No. And we can see that he's too. Yeah, well, go sign of teal recital T which is attention two

This question asked us to write sign of tea plus 10 of tea over 10 of tea in terms of signing coastline and and simplify. First things first. Let's break this up Writing this each with the same denominator of 10 of tea. Just sign question on under each over 10. Empty. Now that we have this, we know that this can essentially be written as sign of tea Times Co sign T over sign of tea plus one. We got back because we know tangent is signed over Coast side. Therefore, one over tangent is cosign oversight. We do this because now I can cross off like this toe end up with the final solution of co sign of tea plus one.

In this question, we are going to simplify a trick expression using trig identities. Our trick expression starts with a Kasey comte of T. I'm going to replace that with one over sign of T. We also had co seeking of team multiplied by tangent of T. I'm going to replace tangent of T with sign of T over co sign of T. Yeah. Now that I've made substitution is with trig identities. I can simplify sign of T divided by sine of T is one And one over cosine. T is equal to seek it of T.

In this question, we are going to simplify a trick expression using trig identities. Our expression starts off as a fraction. I have co tangent of T in the numerator. I'm going to change that to co sign over sign. Yeah. Using a quotient identity in the denominator we have Kosik into T. I'm going to change that to one over sine of T. Using a reciprocal identity. Next I will take the numerator and multiply by the reciprocal of the denominator. Yeah, we can simplify yeah. To co sign of T.


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