Solve sin 2ø= cos ø on the interval 0

third option:

Step-by-step explanation:

We write the sin(2x) using the property of sin of the double angle:

and replace the expression on the left of the given equation by this:

now we notice that if equals zero, the equation becomes true. Therefore all of the values that make are solutions. That is .

Now, in the case   is NOT zero, we can divide both sides of the equation by it, ending up with a simple

and in the interval between 0 and the solutions to this are:

So we found a total of four solutions:

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857