sinx/sin(x/8)=?options:a) 0b)1c)8 cos x/8 cos x/4 cos x/2d)8 sin x/8 sin x/4 sin x/2
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Answer: sinx =2sin x/2 cosx/2
similarly sinx/2=2sinx/4 cos x/4
sinx/4 =2sin x/8 cos x/8
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Answer:
'' ___________ '' symbol indicates division
Step-by-step explanation:
sinx / sin(x/8) (sin x = 2 sin x/2 . cos x/2)
2 sin x/2 . cos x/2 divided by sin (x/8)
2. 2.sinx/4 . cos x/4 . cos x/2 divided by sin(x/8) ( sin x/2 = 2 sin x/4 . cos x/4)
2.2.2. 2 sinx/8 . cos x/8 . cos x/4 . cos x/2 ( sin x/4 = 2 sin x/8 . cos x/8)
= _______________________________________
sin(x/8)
{sin ( x/8) cancel} so,
= 8 cos x/8 . cos x/4 . cos x/2
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