Question

Find approximate solution for the equation in the interval 0 < x < pi . Rounded to three decimal places. tanx = 5 sinx

Answer 1

Have you considered factoring?

Answer 2

how would i factor that?

Answer 3

\(\tan(x) - 5\sin(x) = 0\)

\(\dfrac{\sin(x)}{\cos(x)} - 5\sin(x) = 0\)

\(\sin(x)\cdot \left(\dfrac{1}{\cos(x)} - 5\right) = 0\)

Answer 4

i dont understand

Answer 5

Which part? @essalytee

Answer 6

i just dont understand the whole problem

Answer 7

Do you understand his step1?

Answer 8

yes, i understand his steps but i dont know how to work out the problem after that

Answer 9

@saifoo.khan

Answer 10

now after step 3,
set sin(x) = 0
AND (1/cos x - 5) = 0
Separately.

Answer 11

so the answer would be 0, 1.571?

Answer 12

@saifoo.khan

Answer 13

sin(x) = 0 will give x = 0

For the next one:
cos(x) = 1/5
x = 1.37

Answer 14

okay thank you! i did some wrong calculations for the second one!

Answer 15

No problem.