Question

Question #66b69

Answer 1

You need to use that `90^o=pi/2`

Explanation:

If we use the above, we know that `30^o = 90^o/3=(pi/2)/3=pi/6`

Answer 2

`0.52 rad`

Explanation:

Here are the steps!

By using this formula;

Converting from Radians to Degrees

`"Radians" = pi/180^0 xx "Degrees"`

or

Converting from Degrees to Radians

`"Degrees" = 180^0/pi xx "Radians"`

So from your question..

Expressing `30^0` in Radians should be using this formula (Converting from Degrees to Radians)

`rArr 30^0` in Radians `-> "Degrees" = 180^0/pi xx "Radians"`

`color(white)(xxxxxxxiiixxxx)-> 30^0 = 180^0/(22/7) xx "Radians"`

`color(white)(xxxxxxxiiixxxx)-> 660/7 = 180/1 "Radians"`

`color(white)(xxxxxxxiiixxxx)-> 180 xx 7 color(white)(x)"Radians" = 660`

`color(white)(xxxxxxxiiixxxx)-> 1260color(white)(x)"Radians" = 660`

`color(white)(xxxxxxxiiixxxx)-> "Radians" = 660/1260`

`color(white)(xxxxxxxiiixxxx)-> "Radians" = 0.52 rad`