SOLUTION: How do I simplify {{{cos(2x-pi/2)}}} using sum and difference identities?

Question 1107872: How do I simplify using sum and difference identities?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

First step is  TO LEARN  sum and difference identities.


See the lessons

    - FORMULAS FOR TRIGONOMETRIC FUNCTIONS

    - Addition and subtraction formulas

    - Addition and subtraction formulas - Examples


in this site.


Second step is to learn on how to apply them.


    a)   =  = cos(2x)*0 + sin(2x)*1 = sin(2x);


    b)  sin(2x) = sin(x+x) = sin(x)*cos(x) + cos(x)*sin(x) = 2*sin(x)*cos(x).


Answer.   = 2*sin(x)*cos(x).

That's all.

RELATED QUESTIONS
Simplify using trigonometric identities: a) 4sin2x cos2x b) (1+cos2x)/2 c)... (answered by stanbon)

How do you prove that {{{cos(5x) = 5 cos(x) - 20 cos^3(x) + 16 cos^5(x)}}} using sum and... (answered by jsmallt9,jjvseg)

How do you find sin15� using the sum and difference identities... (answered by Edwin McCravy)

Using techniques with sum and difference formulas, find any acceptable formula for cos... (answered by josgarithmetic,macston)

how do i solve using one of the 6 sum/diff identities and not the calculator?... (answered by stanbon)

How to do Identities problems in Trig. Like... (answered by MathLover1)

I wanted to know how do you solve the question: if cos Ө = -1/3 using trig.... (answered by lwsshak3)

if {{{cos(x) = -5/13}}} and {{{pi < x < 3pi/2}}}, find {{{cos(x/2)}}} using half angle... (answered by Edwin McCravy)

Using Trigonometry Identities. Simplify the expression into one trigonometric function... (answered by solver91311,tokeins,ikleyn,MathTherapy)