Use the sum formula to fill in the blanks in the identity below.

Question

Use the sum formula to fill in the blanks in the identity below.

Give exact answers. Do not use decimals. Your answer should be a fraction or an integer. 

 

sin (x+pi/6)=

sin (x)=?

cos (x)=?

Answer 1

Double check the original problem. It seems to me that some information is missing.

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Ok. Here you go:

 

sin (x+pi/6)

= sinx cospi/6 + cosx sinpi/6

= [sqrt(3)/2]sinx + (1/2)cosx