Question

In which quadrant does the terminal point determined by t lie? Your answer should be using the roman numeral format of I, II, III, or IV. (a) If cos(t) < 0 and sin(t) < 0, then t is in quadrant (b) If cos(t) < 0 and sin(t) > 0, then t is in quadrant (c) If cos(t) > 0 and sin(t) > 0, then t is in quadrant (d) If cos(t) > 0 and sin(t) < 0, then t is in quadrant

          In which quadrant does the terminal point determined by t lie?
Your answer should be using the roman numeral format of I, II, III, or IV.
(a) If cos(t) < 0 and sin(t) < 0, then t is in quadrant
(b) If cos(t) < 0 and sin(t) > 0, then t is in quadrant
(c) If cos(t) > 0 and sin(t) > 0, then t is in quadrant
(d) If cos(t) > 0 and sin(t) < 0, then t is in quadrant

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in which quadrant does the terminal point determined by t lie your answer should be using the roman numeral format of i ii iii or iv a if cost 0 and sint 0 then t is in quadrant b if cost 0 73137

Added by Jeffrey G.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert Donna Densmore

04/16/2022

Step 1

Step 1: (a) If $\cos(t) < 0$ and $\sin(t) < 0$, then $t$ is in quadrant III. Show more…

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In which quadrant does the terminal point determined by t lie? Your answer should be using the roman numeral format of I, II, III, or IV. (a) If cos(t) < 0 and sin(t) < 0, then t is in quadrant (b) If cos(t) < 0 and sin(t) > 0, then t is in quadrant (c) If cos(t) > 0 and sin(t) > 0, then t is in quadrant (d) If cos(t) > 0 and sin(t) < 0, then t is in quadrant

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00:01 From the information given, find the quadrant in which the terminal point determined by t lies.

00:09 Inputs quadrant 1, 2, 3, or 4.

00:12 To do this problem, i'm going to refer to the fact that refer to this anagram where we can determine the signs of each function in each quadrant.

00:30 This stands for all students.

00:38 Take calculus in case you haven't seen this.

00:43 And what that means is that all functions are positive in the first quadrant.

00:50 Sign in its reciprocal or positive in the second quadrant.

00:54 Tangent and its reciprocal are positive in the third quadrant.

00:59 Cosine in its reciprocal or positive in the fourth quadrant.

01:03 So for each one of these i'm going to draw a picture of that.

01:06 So we're going to, for the first one, we see that sign is negative.

01:14 We're going back here, sign is positive in the first and second quadrant.

01:19 So that means sign is going to be negative in the third and fourth quadrant.

01:24 Then i see cosine is negative.

01:28 Well, cosine is positive in the first and fourth quadrant.

01:33 So i'm going to, so that means it's going to, so that means it's going to be negative in the second and third.

01:41 So it's going to be here and here.

01:45 So where do we see both shadings in quadrant three? let's do the same thing for the remaining.

01:54 So we have sine t is positive.

01:57 So that's going to be in my first and second quadrant...

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