[RESOLVED] Finding an acute angle

[liviender]

I have this question that I cannot find how to solve...
The question is like this:

Find an acute θ if

a) sin(θ)=0.12
b) cot(θ)=3

The answer to a) is 6'54', and for b) it is 18'26'.
But I don't know how to get to these answers...

Thank you for your help in advance.


Liviender

[studioussam]

you can only find your answer if u know anything abt inverse trigonometry

if sin a=b
then a=sin(-1)b


and if u hav its knoledge,u wont b having problem with this level of question

[liviender]

So sorry for asking such a low-level question...
I googled for the answer but couldn't find any, and that's why I'm here.

I could find the answer to a) with my calculator [sin(-1)0.12], but how do i find the answer to b)?
I know that cot(a) is 1/tan(a). So do i go tan(-1)3, and then divide 1 with that answer to get cot(a)? I'm so confused... sorry for being really dumb..

[VBAhack]

If cot(θ)=3, then tan(θ)=1/3. Thus you need to find the inverse tangent of 1/3. Hope that helps. If you didn't know, the calculator that comes with Windows has a scientific version (menu view, scientific) that can find the answer. Just type in 3, click the 1/x button, click the inv check box, then click Tan and you'll have your answer (degrees, radians, or grads, depending on which box is checked).

[liviender]

Thank you so much. Now I got how to do it..

I didn't know that the Windows calculator could do such a calculation.