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Given sin x=0.3 , what is cos x ?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

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daniel42steelers

cos x = sqrt( 100 - 9) / 10 
= 0.9539392014sin x = 0.3 = 3/10

Answer:  The value of \(\cos x\) is 0.95.

Step-by-step explanation:  Given that, for an angle x,

\(\sin x=0.3.\)

We are given to find the value of \(\cos x.\)

We will be using the following trigonometric identity:

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

We have

\(\cos^2x+\sin^2x=1\\\\\Rightarrow \cos^2x=1-\sin^2x\\\\\Rightarrow \cos x=\sqrt{1-\sin^2x}\\\\\Rightarrow \cos x=\sqrt{1-(0.3)^2}\\\\\Rightarrow \cos x=\sqrt{1-0.09}\\\\\Rightarrow \cos x=\sqrt{0.91}\\\\\Rightarrow \cos x=0.95.\)

Thus, the value of \(\cos x\) is 0.95.

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