Question

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.

Answer 1

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

Answer 2

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=√(1-\sin^2x)\\\\\Rightarrow \cos x=√(1-(0.3)^2)\\\\\Rightarrow \cos x=√(1-0.09)\\\\\Rightarrow \cos x=√(0.91)\\\\\Rightarrow \cos x=0.95.`

Thus, the value of
`\cos x` is 0.95.