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if sin x=.76, what is cos?

 Apr 30, 2014

Best Answer 

 #1
avatar+6251 
+5

$$\sin^2(x)+\cos^2(x)=1$$

$$\cos(x)=\sqrt{1-\sin^2(x)}$$

$$\cos(x)=\sqrt{1-(0.76)^2}$$

$${\sqrt{{\mathtt{1}}{\mathtt{\,-\,}}{\left({\mathtt{0.76}}\right)}^{{\mathtt{2}}}}} = {\mathtt{0.649\: \!923\: \!072\: \!370\: \!876\: \!8}}$$

$$\cos(x) \approx 0.65$$

.
 Apr 30, 2014
 #1
avatar+6251 
+5
Best Answer

$$\sin^2(x)+\cos^2(x)=1$$

$$\cos(x)=\sqrt{1-\sin^2(x)}$$

$$\cos(x)=\sqrt{1-(0.76)^2}$$

$${\sqrt{{\mathtt{1}}{\mathtt{\,-\,}}{\left({\mathtt{0.76}}\right)}^{{\mathtt{2}}}}} = {\mathtt{0.649\: \!923\: \!072\: \!370\: \!876\: \!8}}$$

$$\cos(x) \approx 0.65$$

Rom Apr 30, 2014
 #2
avatar+6251 
0

$$\sin^2(x)+\cos^2(x)=1$$

$$\cos(x)=\sqrt{1-\sin^2(x)}$$

$$\cos(x)=\sqrt{1-(0.76)^2}$$

$${\sqrt{{\mathtt{1}}{\mathtt{\,-\,}}{\left({\mathtt{0.76}}\right)}^{{\mathtt{2}}}}} = {\mathtt{0.649\: \!923\: \!072\: \!370\: \!876\: \!8}}$$

$$\cos(x) \approx 0.65$$

.
 Apr 30, 2014

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