\(\displaystyle{\sin{{\left(\frac{{x}}{{2}}\right)}}}+{\cos{{\left({x}\right)}}}={0}\), Solve for x of \(\displaystyle{0}^{\circ}\leq{x}{

ropowiec2gkc

ropowiec2gkc

Answered question

2022-03-31

sin(x2)+cos(x)=0, Solve for x of 0x<360

Answer & Explanation

Demetrius Kaufman

Demetrius Kaufman

Beginner2022-04-01Added 10 answers

Try using double angle formulae.
cos(x)=cos2(x2)sin2(x2)=12sin2(x2)
Therefore we have
sin(x2)+cos(x)=sin(x2)+12sin2(x2)=0
Let u=sin(x2), so that you have a quadratic in u, which you can solve.

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?