Question

Write the expression as either the sine, cosine, or tangent of a single angle

sin(π/2)cos(π/7)+cos(π/2)sin(π/7)

Answer 1

hint:
use the identity
sin(A+B)=sinAcosB+cosAsinB

Answer 2

please use the formula of addition of sin x, namely:
\[\sin(x+y)=\sin x \cos y+\cos x \sin y\]

Answer 3

Would I then plug in the numbers accordingly to the formula, or have I got the wrong idea?

Answer 4

you can use this, for example:
\[x=\frac{ \pi }{ 2 }, y=\frac{ \pi }{ 7 }\]

Answer 5

So like I said, I would plug these numbers you posted into the formula, correct?

Answer 6

yes!

Answer 7

in the left side of my formula

Answer 8

Ok. Then onthe right side, the x and y values would be inversed, correct?

Answer 9

where you see x, then you insert pi/2, and where you see y then insert pi/7

Answer 10

I wouldn't need to invert the values for the right side? They get plugged in the same way for both sides?

Answer 11

yes!

Answer 12

Ok! Thank you so very much!!

Answer 13

Thank you!