Given sinX=0.3, what is cosX?

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

Given that the hypotenuse is 1 and the opposite side is 0.3, we can use Pythagoras' Theorem to find the missing side.

1 - 0.3² = α²

1 - 0.09 = α²

0.91 = α²

√0.91 = α

Now, using the cosine form: we get ...

√0.91/1 = √0.91 ≈ 0.9539 ... ≈ 0.95 (nearest hundredth)