Question

The equation tan(x-pi/3) is equal to _____?

Answer 1

@zepdrix can you help me please?

Answer 2

Hello, Jules,
Remember that the tangent function is defined in this following manner (among others): \[\tan x=\frac{ \sin x }{ \cos x }\]

Answer 3

thank you :) can you help with this? The equation sin(pi/3-x) is equal to _____?

Answer 4

If you want to evaluate\[\tan(x-\pi/3)\] you could either memorize and apply the rule for tan (a+b), or you could find sin (x-

Answer 5

.... Are you finished with this problem? Did you want to move on to sin(pi/3-x)?

Answer 6

yes i finished the first one, move on please

Answer 7

Unfortunately, sin(pi/3-x) is not in itself an equation; if there is an equation, where's the rest of it?

Answer 8

Were you asking to evaluate the expression (not equation) sin(pi/3-x)?

Answer 9

the question asked what sin(pi/3-x) is equivalent to

Answer 10

this expression has the form sin (a-b), and you and I have gone over that particular expression before: sin (a-b) = sin a cos b - cos a sin b. Look familiar? if so, what's your next step?

Answer 11

not quite sure what to do with that

Answer 12

Hints: \[\sin \frac{ \pi }{ 3 }=\frac{ \sqrt{3} }{ 2 }\]

Answer 13

okay, and then from there?

Answer 14

cos (pi/3) = 1/2

Answer 15

alright

Answer 16

Look at the values for those two trig functions; we obtained them a minute or so back. Substitute those values into the most recent equation.

Answer 17

You wanted to evaluate

Answer 18

and the proper formula to use to do that is\[\sin (a-b) = \sin a \cos b - \cos a \sin b.\]