Question

Solve the trigonometric equation √2 cos − 1 2 cos + 1 = 0 in the interval [0, 360°). find the exact values of the solutions in degrees

Answer 1

First, you would combine all the like terms- cos(x)(√2 - 12)= -1 
Then you would Isolate x: cos(x) equals -1/(√2 - 12) 
cos(x) equals 0.0944 
x equals cos⁻¹(0.0944) 
x equals 84.57 degrees aka (360-x=275.42 degrees) 
Hope I got this right :/

Answer 2

Assuming cos means cos(x); 

Combine all like terms: cos(x)(√2 - 12)= -1 
Isolate x: cos(x)= -1/(√2 - 12) 

cos(x)=0.0944 
x=cos⁻¹(0.0944) 
x= 84.57 degrees or (360-x=275.42 degrees) 

Hope I helped :)