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Bas_tet [7]
3 years ago
7

Given sin x=0.3 , what is cos x ?

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0
Cos x = sqrt( 100 - 9) / 10 
<span>= 0.9539392014</span><span>sin x = 0.3 = 3/10
</span>
shusha [124]3 years ago
7 0

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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