how to solve for theta

[tacit jasper]

g is gravity 9.81

[olive ocean]

1. Do not ping the Moderators, unless someone is breaking the rules.
2. Do not ping the Helper Moderators, unless there is a conflict between helpers.
3. Do not ping other members randomly for help.
4. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
5. Wait patiently for a helper to come along.
6. If the Helper has answered your question, remember to thank them with the Mathematics Ranks bot and close the thread with:

+close
Feel free to nominate the person for helper of the week in #helper-nominations
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[slim prism]

Note that 1/cos(θ)^2 = 1 + tan(θ)^2, so this is a quadratic equation in tan(θ).
Also, please, don't solve it like this. Leave the parameters as variables and substitute their values at the very end.

[tacit jasper]

Bruh this physics 12 wants me to know that sinθcosθ is 1/2sin(2θ)??

Do I memorize this stuff

Why's 1/2sin(2θ)

[forest trench]

wdym

just use angle addition

$\sin(x+x)=\sin(x)\cos(x)+\sin(x)\cos(x)=2\sin(x)\cos(x)$

[haughty swan]

ooaa

[forest trench]

also aren't you just supposed to let $x=v\cos(\theta)$ and $y=v\sin(\theta)-\frac12gt^2$

[haughty swan]

ooaa

[tacit jasper]

+close

[thick pine]

Please thank your Helpers before closing!

Please thank the helpers who assisted you by clicking the buttons below. You can thank each helper only once. Once you're done, click "Close Post" to close this thread.