Question

Given sinx=0.5 , what is cosx ?



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

Answer 1

The arc sine of 0.5 is 30 degrees Therefore x = 30 degrees
The cosine of x = cosine of 30 degrees = 0.86603
(rounded to nearest hundredth is .87)

Answer 2

Answer:

The value of cosx is $\pm0.87$

Step-by-step explanation:

We have been given that $\sin x= 0.5$

We know the relation between sine and cosine

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

On solving the equation for cosx, we get

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

Plugging the value of sinx, we get

$\cos x=\pm\sqrt{1-(0.5)^2}$

On simplifying, we get

$\cos x=\pm\sqrt{0.75}\\\\\cos x=\pm0.87$

Therefore, the value of cosx is $\pm0.87$