SOLUTION: sin(x/2)cos(x/2)(1-2sin^2(x/2))

Algebra.Com
Question 1144157: sin(x/2)cos(x/2)(1-2sin^2(x/2))
Answer by ikleyn(52861)   (Show Source): You can put this solution on YOUR website!
.

First,   sin(x/2)cos(x/2) = .


Second,  1-2sin^2(x/2)  = cos(x).


Therefore,  sin(x/2)cos(x/2)(1-2sin^2(x/2)) =  = .    ANSWER

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

You need to know basic Trigonometry formulas for multiple arguments  (for double arguments,  in this case).

See the lesson
    - FORMULAS FOR TRIGONOMETRIC FUNCTIONS
in this site.



RELATED QUESTIONS

sin^2 x - cos^2 x =... (answered by Alan3354)
Proof: sin ^4x -cos^4x=2sin^2 x-1 (answered by lwsshak3)
Prove the identity: 2Sin X • Cos X ÷ (Sin X + Cos X)^2 - 1 = 1 (answered by Shai)
Complete the identity.... (answered by rolling_meadows)
2sin^2(x)=sin(x) (answered by addingup)
Simplify completely {{{ ((Cos(x)+sin(x))^2-(cos(x)-sin(x))^2)/ (2sin(2x)) }}} (answered by kingme18)
Prove the identity: {{{sin(2x)/(2sin(x))=cos^2(x/2) -... (answered by Edwin McCravy)
Solve the equation for x, on the interval 0 is less than or equal to x and 2pi is greater (answered by Alan3354)
Verify: sin^4 (x)-cos^4... (answered by tommyt3rd)