Respuesta :
Answer:
Step-by-step explanation:
Cos(65°) = √(1 + cos(130°)) / 2
0.42=√(1 - 0.64)/2
0.42=√(0.36)/2
0.42²=√0.18²
The two sides of the equation are not equal. Therefore, the equation Cos(65°)=√[1+cos(130)]/2 is false.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The left side of the equation is equal to,
Cos(65°) = 0.42262
The right side of the equation is equal to,
[tex]\dfrac{\sqrt{1+cos(130^o)}}{2}\\[/tex] = 0.1786
Hence, the two sides of the equation are not equal. Therefore, the equation Cos(65°)=√[1+cos(130)]/2 is false.
The complete question is:
Is the given equation Cos(65°)=√[1+cos(130)]/2, true or false?
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