If 0\leq\theta\leq360, and: \cos(\theta-35.54)=\frac{8}{\sqrt{74}}

vacinammo288

vacinammo288

Answered question

2022-04-20

If 0θ360, and:
cos(θ35.54)=874

Answer & Explanation

Deandre Barron

Deandre Barron

Beginner2022-04-21Added 17 answers

Invert the cosine function to give:
θ35.54=cos1874
which has a principal value of 21.6. Can you find the other values in the range? Be careful, because if
0<θ<360
then
035.54<θ35.54<36035.54
i.e.
35.54<θ35.54<326.46
so you looking for inverse cosines between 35.54 and 326.46.
Then add 35.54 to each side, for every value you found above to get θ

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?