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Trigonometry 59 Online
OpenStudy (vera_ewing):

Name the x-values for which the sine function and the cosine function equal to zero simultaneously in the domain 0°< x < 360° Name the x-values for which the tangent function is undefined in the domain 0°< x < 360°. Explain why the tangent function is undefined at those x-values.

OpenStudy (anonymous):

A. GRAPHS OF THE TWO BASIC FUNCTIONS: SINE and COSINE y=sinx 1 ... Period - length of the smallest domain interval which corresponds to a complete ... amplitude = I a | = 3 The function has a maximum y value of 3. 2 2 ... denominator, cos x, equal to zero (to avoid division by zero). Thus, for ... 0 for these x values

OpenStudy (vera_ewing):

@ikatouni ok i'm confused lol. what would our answer be?

OpenStudy (anonymous):

Identify the domain and range of the six basic trigonometric functions. .... Just like sin(x), the x-values never "escape" from the unit circle, so they stay between −1 and 1. ... The name of the tangent function comes from the tangent line, which is a line .... First of all, at 0° itself, the cotangent is undefined because the segment is

OpenStudy (anonymous):

I definitely agree with @ikatouni Good job

OpenStudy (anonymous):

did u find what the segment is that ur answer

OpenStudy (vera_ewing):

@ikatouni no i don't know how :( i'm not sure how to find the answer.

OpenStudy (anonymous):

do u have any answer choices

OpenStudy (vera_ewing):

@ikatouni no :( i wish i did lol

OpenStudy (vera_ewing):

can u just tell me the answer for the two questions? please?

OpenStudy (anonymous):

The graph repeats itself because the cotangent function is periodic

OpenStudy (anonymous):

that's the answer

OpenStudy (vera_ewing):

for both?

OpenStudy (anonymous):

Through Quadrant I that height gets larger, starting at 0 .... itself, the cotangent is undefined because the segment is parallel to the ray the other one

OpenStudy (vera_ewing):

oh thats the answer for the second one?

OpenStudy (vera_ewing):

but it says name the x-values? what are the x-values?

OpenStudy (anonymous):

Recall from Trigonometric Functions, that `tan x` is defined as: ... `0` in the denominator of the fraction and this means the fraction is undefined. ...

OpenStudy (vera_ewing):

@nipunmalhotra93 do you know the answers?

OpenStudy (anonymous):

I just gave it to u ^^

OpenStudy (nipunmalhotra93):

@veraewing There's no x for which both sinx and cosx are 0. One of the explanations for that could be that (sinx)^2+(cosx)^2=1 for all x. So both being 0 is not possible. tan=sin/cos. So, it'll be undefined at all those points where cos is 0. So the answer for part b is 90 and 270.

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