Question

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

sine of pi divided by two times cosine of pi divided by seven plus cosine of pi divided by two times sine of pi divided by seven.

Answer 1

write your equation out.

Answer 2

okay give me a second please

Answer 3

okay give me a second please \[\sin (\pi/2) \cos(\pi/7) + \cos(\pi/2) \sin(\pi/7)\]

Answer 4

\(\large\color{midnightblue}{ \rm sin(π/2+π/7) }\) this is your expression :)

Answer 5

Now, simplify it.

Answer 6

sin(x+y)= sinx cosy+cosx siny

Answer 7

\(\large\color{midnightblue}{ \rm sin(π/2+π/7) }\)
\(\large\color{midnightblue}{ \rm sin(7π/14+2π/14) }\)
\(\large\color{midnightblue}{ \rm sin(9π/14) }\)

Answer 8

So is it sin(9pi/14)?

Answer 9

Oh okay yes thanks so much @SolomonZelman and @neer2890

Answer 10

anytime