Question

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

sin 52° cos 13° - cos 52° sin 13°

Answer 1

hint:

sin(x - y) = sin(x)cos(y) - cos(x)sin(y)

Answer 2

more trig identities like this can be found here

http://www.sosmath.com/trig/Trig5/trig5/trig5.html

Answer 3

@jim_thompson5910 Does it become sin65

Answer 4

no it does not

Answer 5

@jim_thompson5910 so what do it become because I really do not understand

Answer 6

you subtract instead of add

52-13 = 39

Answer 7

so it becomes sin(39)

Answer 8

@jim_thompson5910 Thank you

Answer 9

np

Answer 10

@jim_thompson5910 can you help me with this one
cos((π)/(3))cos((π)/(5)+sin((π)/(3))sin((π)/(5))

Answer 11

now you're using the identity

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

Answer 12

@jim_thompson5910 π/3 - π/5?

Answer 13

good, combine and simplify

Answer 14

@jim_thompson5910 cos(2π)/(15)

Answer 15

if you mean \[\Large \cos\left(\frac{2\pi}{15}\right)\] then you are correct

Answer 16

@jim_thompson5910 thank you again

Answer 17

yw