(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Answer:
x=5.3
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
x
≈
5.3
Hope this helps, can you now give me brainliest??
upto four roots or zero......
If 5 x 6 = 30 you can figure out 8 x 6 by adding 6 three times to 30!
30 + 6 = 36
36 + 6 = 42
42 + 6 = 48 <-- the answer is 48!
90x + 4
Factor out GCF
2 ( 45x + 2)
