Mustakim14 tan ⁻¹0 one year ago one year ago

1. tkhunny

The tangent of what angle is zero? The sine of what angle is zero?

2. Mustakim14

i guess? what does tan⁻¹0 = ?

3. azolotor

arctan(0) = arcsin(0)/arccos(0) so you just have inverse functions. So the sinx = 0 if x = 0 and cosx = 0 if x = Pi/2 so in this case your answer is 0

4. tkhunny

That's what I was trying to define for you. Have you meat the tangent function? It is NOT the case that $$atan(x) = \dfrac{asin(x)}{acos(x)}$$. That is just incorrect. It is not the case that tan(x) = 0 where cos(x) = 0. That is just incorrect.

5. harshit1202

|dw:1359824929642:dw|

6. tkhunny

$$tan^{-1}(x) = arctan(x) = atan(x)$$ It is the invere of the Tangent function. If $$\tan(\theta) = b\;then\;\theta = atan(b)\;for\;-\dfrac{\pi}{2} < \theta < \dfrac{\pi}{2}$$

7. tkhunny

* inverse