Question

Find the smallest positive number θ such that tanθ = -6

Answer 1

i dont understand how to start this what so ever

Answer 2

@amistre64 @ganeshie8 hello there i was wondering if you can help me understand this concept

Answer 3

you need to use ur calculator and find the angle whose tangent is -6

Answer 4

\[\tan (\theta) = -6\]

\[\theta = \tan^{-1}(-6)\]

Answer 5

do you have inverse tan button in ur calculator ?

Answer 6

yes

Answer 7

i got -1.4056

Answer 8

type in -6 and push that button

Answer 9

you're stuck because thats not positive

Answer 10

yeahhh this wouldnt be the positive number theta ..... right its confusing

Answer 11

here is the hint :

the period of tan is \(\pi\), so adding \(\pi\) to the angle will not change the tangent value

Answer 12

btw, \(\pi\) is just a number : 3.142

Answer 13

mmmmhhhhh ok

Answer 14

simply add \(\pi\) to ur angle to make it positive

Answer 15

mmmhhhh really ok ... interesting ... thank you n_n

Answer 16

np :) the least positive angle satisfying given equaiton would be :
\[-1.4056 + 3.142 = 1.736\]