Tuesday

September 30, 2014

September 30, 2014

Posted by **Jen** on Friday, July 27, 2007 at 12:16am.

Solve for b

arcsin(b)+ 2arctan(b)=pi

arcsin(b)=pi-2arctan(b)

b=sin(pi-2arctan(b))

Sub in Sin difference identity

let 2U=(2arctan(b))

sin(a-b)=sinacosb-cosasinb

=(sin(pi))(cos(2U))-(cos(pi))(sin(2U))

=(0)(cos(2U))-(-1)(sin(2U))

=(sin(2u))

b=sin(2arctan(b))

Now what should I do?

sin(2arctan(b))=

2 sin(arctan(b))cos(arctanb)

If you draw a right triangle with the lenghts of the two sides at right angles b and 1, so that one of the angeles becomes arctan(b), you see that

sin(arctan(b)) = b/sqrt[1+b^2]

cos(arctan(b)) = 1/sqrt[1+b^2]

**Answer this Question**

**Related Questions**

math - Eliminate the parameter (What does that mean?) and write a rectangular ...

Trigonometry - How do i find cos(2arctan(7/24)) Thanks.

CALC - Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u ...

Calculus - Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I ...

Calculus - Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I ...

maths 2 - The original question I had was write arcsin4 in the form a+ib. I ...

Calculus - A baseball, hit 3 feet above the ground, leaves the bat at an angle ...

maths - Please can you help me with this question? Choose the option which is a ...

Calc - how do I solve this arcsin(4/5) note that I am not looking for about 53 ...

Calculus - Evaluate cos[2arctan(2)] Need step by step for this one. Thanks