Trig Identities

[birdman]

Hi! I would really appreciate any help with this problem. I get to the point of 2tanθ - 8sinθ = 0 but can't figure out where to go from there...

Here is the mark scheme/answer (I'm sorry it's very vague)

 

[Deleted member 4993]

Hi! I would really appreciate any help with this problem. I get to the point of 2tanθ - 8sinθ = 0 but can't figure out where to go from there...

Here is the mark scheme/answer (I'm sorry it's very vague)

View attachment 33954
View attachment 33955

Use tan(x) = sin(x)/cos(x) to get the next step as shown.

Please share your work and show us exactly where you are stuck.

 

[Harry_the_cat]

After using the hint in Post#2, multiply both sides by \(\displaystyle cos\theta\).