Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

If sin Θ = 7 over 25, use the Pythagorean Identity to find cos Θ.

Sagot :

SinƟ = 7/25
so to get Ɵ, just do inverse Sin (Sin^-1) of 7/25 to get Ɵ.
Then put the value of Ɵ into Cos.
With numbers:
Ɵ = Sin^-1(7/25) = 16.26
CosƟ = Cos(16.26) = 0.96
superkoopasirf
It might be a good idea to sketch out a triangle to help you answer this question.

You know that sin = opposite over hypotenuse, which means the opposite side of the triangle has length 7 and the hypotenuse has length 25 (this could be simplified, for example the triangle could actually have sides length 14 and 50, 21 and 75, etc, but as it cancels this is unimportant).

Using Pythagoras' theorem, you can work out the adjacent side:
[tex]A = \sqrt{25^2 - 7^2} = \sqrt{625 - 49} = \sqrt{576} = 24[/tex]

As cos = adjacent over hypotenuse, you know that cosθ = 24/25
View image superkoopasirf
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.