Special Angles

[sarahtuchb]

Hey everyone, I really need help on the exercice. Thanks for helping

Point P (7, -24) is on the terminal arm of an angle in standard position.
a) Sketch the principal angle, θ.
b) What is the measure of the related acute angle to the nearest degree?
c) What is the measure of θ to the nearest degree?

 

[Deleted member 4993]

Hey everyone, I really need help on the exercice. Thanks for helping

Point P (7, -24) is on the terminal arm of an angle in standard position.
a) Sketch the principal angle, θ.
b) What is the measure of the related acute angle to the nearest degree?
c) What is the measure of θ to the nearest degree?

Do you know the definition of:

an angle in standard position​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[Dr.Peterson]

Hey everyone, I really need help on the exercise. Thanks for helping

Point P (7, -24) is on the terminal arm of an angle in standard position.
a) Sketch the principal angle, θ.
b) What is the measure of the related acute angle to the nearest degree?
c) What is the measure of θ to the nearest degree?

Some of the terminology here is different from what I am used to in the U.S.; the "related acute angle", also called the "reference angle", would be the angle between the "terminal arm" (also called the "terminal ray") and the x-axis. On your sketch, you can find a right triangle, and use an inverse trig function to find this angle.

Note that this is not one of the "special angles" that are taught, which is why you can find only an approximation to it.

Please show us your sketch and any other work you can do, so we can identify what help you need.