STEP - BY - STEP EXPLANATION
What to find?
The equivalent expression.
Given:
[tex]cos2x-sinx[/tex]
Step 1
Simplify cos2x
[tex]\begin{gathered} cos2x=cos(x+x)=cosxcosx-sinxsinx \\ \\ =cos^2x-sin^2x \end{gathered}[/tex]
Step 2
Replace the above in the given expression.
[tex]cos^2x-sin^2x-sinx[/tex]
ANSWER
[tex]cos^2x-sin^2x-sinx[/tex]
