sin(2(theta))=.024469, theta=?

Answer 1

let x = theta... so

sin (2x) = 0.24469 .......take the arcsin on both sides

arcsin[ sin (2x) ] = arcsin(0.24469) ... a function composed of its inverse cancel each other out

so

2x = arcsin(0.24469)

x = 1/2*arcsin(0.24469)

subsitute x back for theta

Answer 2

If you have an obscure decimal like that (AND assuming that's what they really gave you; NOT a square root or something that you yourself rounded off and copied here) then the best you you can do is just use a calculator. Take the inverse sin of 0.24469 and divide by 2.

Answer 3

Remember that, when you got a theta, there are other values that have the same theta:

sin a = sin (180o - a) if you are wroking in grads, sin (pi-a) if you use radians.

And sin a = sin (a+ k 360o) or sin (a + 2kpi).

Ilusion

Answer 4

(1) Find the angle the sine of which is .024469. You do this by using a calculator, or a spreadsheet, or by looking it up in a table.
(2) The angle you found in step (1) is 2θ, so divide that angle by 2 to get θ.

Answer 5

theta is the angle symbol

Answer 6

sin(2(Φ))=.024469
arcsine(sin(2(Φ))= arcsine(.024469)
2Φ=1.40211
Φ=.701

HTH

Doug