Posted by **Jen** on Monday, April 9, 2007 at 1:55pm.

How to find the value of

arctan(2 sin (pi/3))

without using calculator or sketching a triangle. It is like taking u=something and then evaluating.

Thanks.

the solution relies on the fact that you should know the ratio of sides of the 30,60 90 degree triangle, and knowing that Pi/3 = 60 and pi/6 = 30º

in pi/3 = √3 /2 so 2 sin pi/3 = √3 or √3 /1

now what is the angle so that tan(angle) = √3 ???

must be 60º or in radians pi/3

## Answer this Question

## Related Questions

- Inverse trigonometric function - How to solve without calculator 1. sin(arctan(...
- Calculus - Okay so I have a question on my assignment that says: You are given ...
- math - Can anyone help w/ these. 1) Solve the equation in the internal [0deg, ...
- solving trigonometrical equations - arctan(tan(2pi/3) thanks. arctan(tan(2pi/3...
- MathsSs triG - Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-...
- Math - Arrange these in order from least to greatest: arctan(-sqrt3), arctan 0, ...
- Trigonometry - I need help with I just can't seem to get anywhere. this is as ...
- TRIGONOMETRY - Write the following trigonometric expression as an algebraic ...
- math - Eliminate the parameter (What does that mean?) and write a rectangular ...
- trigonometry - can you explain to me in details please of how these type of ...