SOLUTION: Find the exact value for cos2x given sinx = √2/2?

Algebra.Com
Question 935570: Find the exact value for cos2x given sinx = √2/2?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Divide top and bottom by

---------------------------

label the components:

Find the horizontal component






---------------



and, also


-----------------------

and

-----------------
Finally,

In both of these cases




RELATED QUESTIONS

Find the exact value for cos2x given sinx= square root5/5 All help is greatly... (answered by stanbon)
what is the exact value of sin2x, cos2x and tan2x if... (answered by lwsshak3)
exact value of cos2x given that sinx = (sqrt of... (answered by lwsshak3)
Find the exact value of the integral {{{int((sinx)^m/((sinx)^m + (cosx)^m), dx, 0,... (answered by robertb)
if cos^-1(-2/7)=x, find the exact value for each: sinx,cosx, tanx, cotx, secx,&... (answered by lwsshak3)
Prove the following identities: A) cos2x/cosx+sinx = cosx - sinx B)... (answered by Alan3354)
Solve for x on the interval given: a) 2sin^2x-5cosx+1=0 [0, pie] b) sinx/2=0 [-pie,... (answered by Alan3354)
If sinx=-5/13 and x is in the interval (pi, 3pi/2), find the exact value of cosx/2 (answered by fcabanski)
if sinx= 3/5 on the interval(pi/2,pi), find the exact value of... (answered by lwsshak3)