Sin(2x-20)° = ½
Please solve for x with the given restrictions
pi<=x<=2pi

this is asking you if  you remember that angle in radians gives sin(Ф)= 1/2  so do you remember or no?

Step-by-step explanation:

best table in the world to help remember.. you'll need this table just remember it

Radians    0     π/6     π/4     π/3      π/2

Degrees   0     30       45      60       90

Sin             0   √1/2   √2/2   √3/2   √4/2

Cos           1    √3/2   √2/2   √1/2     0

notice that the numerators just count up from 0  :o and only the numerator is under the square root sign, not the denominator.  it's always just 2

ofc  √4/2 is just 1... but it's just easy to remember the table by writting it in that form   :)   0, 1, 2, 3 ,4     easy as pie..  pun intended

Also the √1/2 is also just 1/2  but, again .. it's just easy to remember the table that way.

s  sin(Ф)= 1/2 is the angle of 30 degrees.. huh sooo  what would make 30 in that formula ?   2*25 = 50  and then take away 20 makes 30  yay we have what x  is... it's 25.. nice  but there is one more part to take care of.. they ask for the answer to be between pi and 2 pi   which 30 degrees is not... but.. we can use that 30 degrees and just add 180 to find the opposite angle that would also be = to 1/2   we want our angle to be 210   that is 180+30   s to get 210 from our formula take 230 minus 20 to get to 210 and then take the 230 and divide that by two... to get 115... yay for our X we need 115

that's our final answer  115=x  

step-by-step explanation:

you can not solvr this without numbers