SOLUTION: find value of {{{tan(sin^-1 (x) + cos^-1 (x/2))}}} , where x= (root3)/2

Algebra.Com
Question 1083855: find value of , where x= (root3)/2
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you can probably solve this graphically.

you will get the value of tan(arcsin(x) + arccos(2/2) is equal to -1.464.

you will get the same result with your calculator.

not sure if this is what you want, but that's the answer i get.

the graph looks like this:

the solution is the intersection of your formula with the line x = sqrt(3)/2.

your formula is in blue.
the vertical line of x = sqrt(3)/2 is in red.

$$$


RELATED QUESTIONS

if x=2+root3/2-root3 then find the value of... (answered by ikleyn)
Given: sin(x) - cos(x) = 1/(5^1/2) find the value of tan(x) + cot(x) +... (answered by ikleyn)
Find exact value of sin^-1... (answered by Alan3354)
Find a numerical value of one trigonometric function of x if... (answered by lwsshak3)
Verify the following:... (answered by Alan3354)
Find a numerical value of sin(x) if cos(x) tan(x)csc^2(x) =... (answered by fractalier)
IF X=2+ROOT3 FIND THE VALUE OF... (answered by ikleyn)
Prove the identity: {{{cos(x)/(1-sin(x)) + cos(x)/(1+sin(x)) =... (answered by DAWNPLAYA,Boreal)
Prove the identity: {{{tan(x) /( 1 + (tan(x))^2) = sin(x)cos(x)}}} (x is... (answered by jim_thompson5910)