Given sin B = .65 find the angle B in radians. Round your answer to the nearest hundredth. please help me with this question

Question

Given sin B = .65 find the angle B in radians. Round your answer to the nearest hundredth.   please help me with this question

souvik · Answer

$$B=\sin^{-1} (.65)$$

anonymous · Answer

would it be 1.67 radians ?

souvik · Answer

what is B in degree?

anonymous · Answer

doesnt show it just tells me to solve for it and the multiple questions are A=1.67    B=1.34   C=.98    D=.71

souvik · Answer

B= 40.54 degree
in radians it is 0.71...
do u know what is the relation between degree and radians?

whpalmer4 · Answer

Here's a hint: |dw:1372664598115:dw|

whpalmer4 · Answer

pi/6 = 0.524 radians
pi/4 = 0.785 radians
pi/3 = 1.0472 radians

which unit circle value of the three has sin(x) closest to 0.65?

whpalmer4 · Answer

sin(pi/6) = 1/2 = 0.5
sin(pi/4) = sqrt(2)/2 = 0.707
sin(pi/3) = sqrt(3)/2 = 0.866

whpalmer4 · Answer

From this you should be able to see that the answer choice closest to pi/4 is the one to choose.

anonymous · Answer

thank you

whpalmer4 · Answer

of course with a calculator you could just take the arcsin of 0.65 and get the answer directly, but where's the challenge in that? (well, making sure your calculator is set in radian mode, I suppose)