How do you write $3 sin pix + 3 (sqrt 3) cos pix$ only in terms of sin?

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Answer 1 · 2016-04-30T14:44:51

$=6sin(pix+pi/3)$

$3 sin pix + 3 (sqrt 3) cos pix$
$=6 (1/2xxsin pix +(sqrt 3)/2 cos pix)$ ( taking 6 common)
putting $1/2=cos(pi/3) and sqrt3/2=sin(pi/3)$

$=6 (cos(pi/3)xxsin pix+sin(pi/3) cos pix)$
applying formula $sinAcosB+cosA sinB=sin(A+B)$
$=6sin(pix+pi/3)$

How do you write 3 sin pix + 3 (sqrt 3) cos pix3 sin pix + 3 (sqrt 3) cos pix only in terms of sin?