tan90+45
What are you trying to find?
Is it Tan(90+45)?
We need more info
\[tan(90)\] IS undefined
tan90+teta
Umm... \[tan(90)+\theta\]?
Bracket?
\[tan(90+45)\]?
tan135
Ok. Thats easy \[tan(135)\]\[=-1\]
how
Tan(90+45)=-cot45
How it does that is really complicated, @madgularahul. I think inputting into a calculator should be fine
no its -1
What hemans is: \[tan(135)=-cos(45)\]\[-cos(45)=-1\]
|dw:1415957388942:dw|
Cot45=1
He wants to know how \(tan(135)\) is \(-1\)
Yes, first start with a drawing to understand which quadrant angle 135 is in.
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.
Here is a way to see it:|dw:1415957790256:dw|
\(\text{All Students Talk Crap}\) Quote by my Maths Teacher
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. \[\tan(135) =\frac{y}{x} = \frac{\sqrt{2}}{2} \cdot -\frac{2}{\sqrt{2}} = -1\]
Do you understand? :)
Maybe I should have written i as : \[\tan(135) =\frac{3\pi}{4} \]At 3pi/4, we have \(x= -\frac{\sqrt{2}}{2}\) and \(y= \frac{\sqrt{2}}{2}\) \[\tan(\theta)= \frac{y}{x} \implies \frac{\sqrt{2}}{2} \cdot -\frac{2}{\sqrt{2}} = -1\]
good mnemonic
Join our real-time social learning platform and learn together with your friends!