Math Problems: Help please. 1. Simplify `sin(pi/4 + 0) + sin(pi/4 - 0)`

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lemjay | High School Teacher | (Level 3) Senior Educator

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`sin(pi/4+0)+sin(pi/4-0)`

First, simplify the expression inside the parenthesis.

`= sin(pi/4) + sin(pi/4)`

Then, combine like terms.

`=2sin(pi/4)`

And, refer to unit circle chart to get the exact value of sine when the angle is pi/4.

`=2(sqrt2/2)`

`=(2sqrt2)/2`

Cancel common factor to simplify further.

`=sqrt2`

Hence,  `sin(pi/4+0)+sin(pi/4-0)=sqrt2` .

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