Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]
​

What Is Thecentre And Diameter Of The Circle With Equation Texx 2 Y2 2y 1 16tex class=

Sagot :

Answer:

The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38

Step-by-step explanation:

Let us consider θ = 22.5 º

Therefore, sin2θ =  [(1− cos 2θ) / 2] -------(1)

If θ = 22.5° then 2θ is 45°.

On substituting the value of θ in equation (1), we get

sin2 22.5° =  [(1− cos (2 × 22.5°)) / 2]

sin2 22.5° =  [(1− cos 45°) / 2]

sin2 22.5°=  [ [1 - (1 / √2)] / 2 ]

sin2 22.5°=  (2 - √2) / 4 [ on simplifying the above RHS value ]

sin 22.5° = [√(2 - √2) / 2]

After substituting the value of √2 as 1.414 in the above equation, we get

sin 22.5°= 0.38

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.