fine the values of sin 30, cos 30, and tan 30 in the given triangle

Answer 1

To find the values of sin 30, cos 30, and tan 30 in the given triangle, we can use the special triangle with angle 30 degrees.

In a 30-60-90 triangle, the side opposite the 30-degree angle is always half the length of the hypotenuse. Let's assume the length of the hypotenuse is 2 units. Therefore, the side opposite the 30-degree angle is 1 unit.

Using these lengths, we can find the values of sin 30, cos 30, and tan 30.

sin 30 = opposite/hypotenuse = 1/2
cos 30 = adjacent/hypotenuse = √3/2
tan 30 = opposite/adjacent = 1/√3 = √3/3

Therefore, the values of sin 30, cos 30, and tan 30 in the given triangle are 1/2, √3/2, and √3/3, respectively.