Question
Asked Oct 13, 2019
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show that the following equation is not an identity. 

sin((theta)+(pie)/3)=sin(theta) + sin((pie)/3)

 

I cant figure out how to solve this. I am in Pre-Calc. Can someone show and explain to me how to do it

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Expert Answer

Step 1

Given trigonometric equation is

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sin 0 sin(e)+sin 3 3

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Step 2

To show its an identity, start from the left hand side of the equation and try to get the right hand side . apply sin(a+b) formula

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sin(a +b) cos(a)sin(b) +cos(b)sin(a) = = cos(0)sin 3 sin 0 sin(e)cos 3 3

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Step 3

Plug in the value of sin(pi/3) and cos(...

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sin e = cos(e) 3 sin(0) 2 s 2

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