Select the correct answer.
Let [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] be polynomials as shown below.
[tex]
\begin{array}{l}
f(z)=a_0+a_1 z+a_2 z^2 \ldots+a_0 z^*
g(z)=b_0+b_1 z+b_2 z^2 \ldots+b_m z^*
\end{array}
[/tex]
Which of the following is true about [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex]?
A. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] are not closed under addition because when added, the result will be a polynomial.
B. [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] are closed under addition because when added, the result will not be a polynomial.
Answer (2)
sin2x = 2sinxcosx; cos2x = (cosx)^2 - (sinx)^2; tan2x = (sin2x)/(cos2x);
cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;
=> sin2x = 120/169; .................................
Using double angle formulas, we find sin ( 2 x ) = 169 120 , cos ( 2 x ) = − 169 119 , and tan ( 2 x ) = − 119 120 . We calculated these by first finding cos ( x ) from sin ( x ) and then applying the formulas. All calculations followed proper trigonometric identities.
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