Find the angle between 0° and 90° which statisfies equation Cos=2/3
To find the angle that satisfies the equation cosθ = 2/3, we can use the inverse cosine function.
cosθ = 2/3
Using the inverse cosine function (cos⁻¹), we have:
θ = cos⁻¹(2/3)
Using a calculator, we find:
θ ≈ 48.19°
Therefore, the angle between 0° and 90° that satisfies the equation cosθ = 2/3 is approximately 48.19°.
To find the angle that satisfies the equation cosθ = 2/3, we can use the inverse cosine function (also known as arccosine or cos^(-1)).
The inverse cosine function will give us the angle whose cosine is equal to 2/3.
Here are the step-by-step instructions:
Step 1: Use the inverse cosine function to find the angle.
arccos(2/3) ≈ 48.19°
Step 2: Verify if the angle is between 0° and 90°.
Since the obtained angle, 48.19°, is between 0° and 90°, it satisfies the given equation.
Therefore, the angle that satisfies cosθ = 2/3 is approximately 48.19°, and it lies between 0° and 90°.