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anonymous
 one year ago
If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.
anonymous
 one year ago
If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jamesr @Xaze @MoonMoonWolf @miszzkeriee @mathway @Michele_Laino @mickey1513

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, we have \( \huge \sin x = \frac{\sqrt{2}}{2}\) So we know that \( \huge \sin \theta = \frac{y}{r}\) \( \huge y = \sqrt{2}\) r = radius \( \huge r = 2\) \( \huge \cos x = \frac{x}{r} \) Since we already know what y equals and r, we can use the following formula to find x \( \huge x^2 + y^2 = r^2 \) \( \huge x^2 + \sqrt{2}^2 = 2^2 \) \( \huge x^2 + \sqrt{2}^2 = 2^2  \sqrt{2}^2 \) \( \huge \sqrt{x^2} = \sqrt{2^2  \sqrt{2}^2} \) Can you finish solving for x ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Note, we are working on cos right now. We will do tan after cos.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I tried but couldn't get it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, what did you get for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0By the way, using complete sentences how would I explain the key features of the graph of the tangent function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\( \huge \sqrt{x^2} = \sqrt{2^2  \sqrt{2}^2} \) \( \huge \sqrt{x^2} = x\) \( \huge x = \sqrt{2^2  \sqrt{2}^2} \) \( \huge 2^2 = 4 \) \( \huge \sqrt{2}^2 = \sqrt{4} = 2 \) So now we have \( \huge x = \sqrt{4  2} \) What is the value of x ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Once you know how to solve the problem you should be able to explain.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\( \huge x = \sqrt{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, \( \huge \cos x = \frac{x}{r}\) since we know what x is and r, we have cos x = \( \huge \frac{\sqrt{2}}{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since we have found cos, what do you think tan x =? \( \huge \tan x = \frac{y}{x} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tan x would be pie2/4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Tan x = \( \huge \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} \) but you need to divide this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you divide that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wouldn't it equal 1?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so for the final answer how would i explain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just go over the steps that we went through here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but for this how would i explain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Using complete sentences, explain the key features of the graph of the tangent function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that a separate question on your homework?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, you just need to explain the key feature of the tan when it comes to graphing.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Look in your book. It should tell you step by step. For instance you will have asymptotes at odd multiples of \( \huge \frac{\pi}{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here are the properties of the tan The domain is the set of all real numbers except odd multiples of \( \huge \frac{\pi}{2} \) The range is the set of all real numbers The tangent function is an odd function, as the symmetry of the graph with respect to the origin indicates. The tangent function is periodic with period pi The xintercepts are .....,2pi, pi, 0, pi, 2pi, 3pi, ..... Vertical asymptotes occur at x = odd multiples of \( \huge \frac{\pi}{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good job. It is a lot to take in but keep practicing and you will get it.
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