Question

What is tan of theta if theta= 3pi/4

-1
1
+-sqrt2/2
-sqrt2/2

Answer 1

Answer: -1

Explanation:

What is tan of theta if theta= 3pi/4?

This is the same as:

What is tan
`(3\pi )/(4)` ?

You need to look at a unit circle.

At
`(3\pi )/(4)` , the point is
`((-√(2) )/(2) ,(√(2) )/(2))` >see image

the x in point (x, y) is cos x, so cos x =
`(-√(2) )/(2)`

the y in point (x, y) is sin x, so sin x =
`(√(2) )/(2)`

tanx = sinx / cosx

`tan x = ((√(2) )/(2))/((-√(2) )/(2))` >Use keep change flip for fractions

`tan x = (√(2) )/(2)*(2)/(-√(2) )` >simplify

tan x = -1

Answer 2

Answer:The value of tangent of theta when theta equals 3pi/4 is -1.

Explanation: