# How do you show that sin(x+60) + sin(x+120) =(√3)cosx ?

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Shreya
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Feb 28, 2018

#### Answer:

see below

#### Explanation:

We have,

According to formula,

Applying it,we get,

or,

{

Thus,the expression comes out to be,

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#### Answer

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Sunayan S
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Feb 28, 2018

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#sin(x+60)+sin(x+120)#

#=2 cdot sin{((x+60)+(x+120))/2} cdot cos{((x+60)-(x+120))/2}#

#=2 cdot sin{(2x+180)/2} cdot cos{(-60)/2}#

#=2 cdot sin{90+x} cdot cos{30}#

#=2 cdot sin{90-(-x)} cdot cos30#

#=2 cdot cosx cdot sqrt3/2#

#=sqrt3 cdot cosx#

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