Solving for x in Equation (1375sin(x)+794cos(x)=1500)

[Xenix]

1. So I have 2 equations:
(1) A*cos(30)-1375*cos(x)=0
(2) 1375*sin(x)+A*sin(30)-1500=0


I redid equation (1) into A=1588*cos(x)
And substituted it into equation (2).

The result:

1375*sin(x) + 794*cos(x) = 1500

Can someone please tell me how to solve for x please?

 

[tiny-tim]

Hi Xenix! Welcome to PF!

(1375*cos(x))² + (1375*sin(x))² = … ?

 

[Xenix]

Hi!

Thanks!

(1375*cos(x))2 + (1375*sin(x))2 = 1

But how does it help me?

 

[SteamKing]

You can:
1. Assume a solution and see if it satisfies the equation.
2. Play around with trig identities to get all cosines or all sines in the equation.
3. Plot the equation.

 

[tiny-tim]

(1375*cos(x))2 + (1375*sin(x))2 = 1

(1375², actually! )

come on … think! ​