sin(2x) = cos(x)
2sin(x)cos(x) = cos(x) Expand sin(2x).
2cos(x) 2cos(x) Divide 2cos(x) on each side.
sin(x) = ¹/₂
sin⁻¹[sin(x)] = sin⁻¹(¹/₂) Use sin⁻¹(x) on each side.
x = 30, 150 Find the answer.
6 bowls. 6 is the GCF (Greatest Common Factor) of the three numbers.
Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
