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James Stewart, Lothar Redlin, Saleem Watson

3 Edition

Chapter 7, Problem 4

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Find $\sin t$ and $\cos t$ for the values of $t$ whose terminal points are shown on the unit circle in the figure. In Exercise $3,$ $t$ increases in increments of $\pi / 4 ;$ in Exercise $4, t$ increases in increments of $\pi / 6 .$ (See Exercises 21 and 22 in Section 7.1.)

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Find $\sin t$ and $\cos t$ for the values of $t$ whose terminal points are shown on the unit circle in the figure. In Exercise $3,$ $t$ increases in …

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Find $\sin t$ and $\cos t$ for the values of $t$ whose terminal points are shown on the unit circle in the figure. In Exercise 1 $t$ increases in inc…

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Find $\sin t$ and $\cos t$ fo…

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Find $\sin t$ and $\cos t$ for the values of $t$ whose terminal points are shown on the unit circle in the figure. In Exercise $3, t$ increases in in…

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$3-4$ Evaluating Trigonometric Functions Find $\sin t$ and $\cos t$

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Transcript

Okay, so we have a unit circle, and in this case, the increments are pi over six. Well, so we’ve got zero. We have pi over six. High over three. Hi. Over to two pi over three five pi over six. Pie seven pi over six four pi over three three pi over two five pi over three in 11 pi over six and then finally to pack. So we want to know the sign in the coastline values as we go. Remember that the sign is your height and the coastline is your wit. So we’ve got our co sign of tea in our sign of t. So, at zero, the co sign value will be one. Because it’s the radius is one. And it’s neither going up nor down to the sign is zeer. Now I pi over six, which is a 30 degree angle and where you can use our 30 degree reference angle to help us with our values. So, at pi over six, my co sign is Route 3/2, and my sign is 1/2 at Pi over three. Those values will switch 1/2 in an up route 3/2 at pi over to my co sign. Value is zero. My sign values one at two pi over…