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Mathematics 6 Online
OpenStudy (anonymous):

tan90+45

OpenStudy (ahsome):

What are you trying to find?

OpenStudy (shamim):

Is it Tan(90+45)?

OpenStudy (ahsome):

We need more info

OpenStudy (ahsome):

\[tan(90)\] IS undefined

OpenStudy (anonymous):

tan90+teta

OpenStudy (ahsome):

Umm... \[tan(90)+\theta\]?

OpenStudy (shamim):

Bracket?

OpenStudy (ahsome):

\[tan(90+45)\]?

OpenStudy (anonymous):

tan135

OpenStudy (ahsome):

Ok. Thats easy \[tan(135)\]\[=-1\]

OpenStudy (anonymous):

how

OpenStudy (shamim):

Tan(90+45)=-cot45

OpenStudy (ahsome):

How it does that is really complicated, @madgularahul. I think inputting into a calculator should be fine

OpenStudy (anonymous):

no its -1

OpenStudy (ahsome):

What hemans is: \[tan(135)=-cos(45)\]\[-cos(45)=-1\]

OpenStudy (jhannybean):

|dw:1415957388942:dw|

OpenStudy (shamim):

Cot45=1

OpenStudy (ahsome):

He wants to know how \(tan(135)\) is \(-1\)

OpenStudy (jhannybean):

Yes, first start with a drawing to understand which quadrant angle 135 is in.

OpenStudy (jhannybean):

You know that in quadrant 1, \(\tan(45) = 1\) therefore, tangent is negative in quadrant 2, where we have the angle 135. I think this is what is called a complementary angle. Once you know what the original angle in quadrant 1 is, finding other angles is simple.

OpenStudy (ahsome):

Here is a way to see it:|dw:1415957790256:dw|

OpenStudy (ahsome):

\(\text{All Students Talk Crap}\) Quote by my Maths Teacher

OpenStudy (jhannybean):

To be more precise, \(\tan(45 + 90) = \tan(135)\) and so finding what \(\tan(45)\) is, all you need to find now is whether your answer is positive or negative. \[\tan(135) =\frac{y}{x} = \frac{\sqrt{2}}{2} \cdot -\frac{2}{\sqrt{2}} = -1\]

OpenStudy (jhannybean):

Do you understand? :)

OpenStudy (jhannybean):

Maybe I should have written i as : \[\tan(135) =\frac{3\pi}{4} \]At 3pi/4, we have \(x= -\frac{\sqrt{2}}{2}\) and \(y= \frac{\sqrt{2}}{2}\) \[\tan(\theta)= \frac{y}{x} \implies \frac{\sqrt{2}}{2} \cdot -\frac{2}{\sqrt{2}} = -1\]

OpenStudy (perl):

good mnemonic

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