I had the following equation to do:

7 sinx + 4 cosx = 8.

My solutions (to 3 decimal places) were 0.927 and 1.106.

Can someone verify these please? If they are not correct, could someone show me how to do it?

Printable View

- Oct 31st 2007, 01:39 PMty2391An Equation
I had the following equation to do:

7 sinx + 4 cosx = 8.

My solutions (to 3 decimal places) were 0.927 and 1.106.

Can someone verify these please? If they are not correct, could someone show me how to do it? - Oct 31st 2007, 01:50 PMJhevon
- Oct 31st 2007, 01:53 PMCaptainBlack
- Oct 31st 2007, 02:26 PMty2391
Yup I got 1.176, just a typo.

The way I did it was representing 7 sinx + 4 cosx as a single sine function.

Once I did that, I just equated that to 8, and solved for x. - Oct 31st 2007, 04:59 PMThePerfectHacker

Let then,

Thus,

Now you can solve for . - Oct 31st 2007, 05:53 PMJhevon