Sketching Angles and Reference Angles Sketch an angle of 275º and then find its reference angle x y The angle is a little more than that 270º so it is.

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Presentation transcript:

Sketching Angles and Reference Angles Sketch an angle of 275º and then find its reference angle x y The angle is a little more than that 270º so it is in the 4 th quadrant The reference angle is to the closest x-axis 275º Since it is 360º all the way around the reference angle is 360 – 275 = 85º

Sketching Angles and Reference Angles Sketch an angle of and then find its reference angle x y 4/3 is which means the angle is in the 3 rd quadrant The reference angle is to the closest x-axis Since it is half way around the reference angle is

Sketching Angles and Reference Angles Sketch an angle of and then find its reference angle x y 5/7 is.71 which means the angle is in the 3 rd quadrant because we are using a negative The reference angle is to the closest x-axis Since it is half way around the reference angle is

Working with fractions involving Find the compliment to Any time we have fractions with we use the calculator and put a 1 in for So in the calculator enter in (1/2) – (2/5) and get a decimal. Math, enter, enter to get a fraction of 1/10

Working with fractions involving Find the supplement to Any time we have fractions with we use the calculator and put a 1 in for So in the calculator enter in (1) – (4/7) and get a decimal. Math, enter, enter to get a fraction of 3/7

Working with fractions involving Find 2 coterminal angles to To find coterminal angles we add to the angle and subtract from the angle Enter in the fraction (2/7) and then add 2 to it. Then subtract 2 from it. Convert both back into fractions

Finding sin, cos, and tan 1) Find the sin(30º) Since this is one of the special angles you are expected to look it up in your notes and put the exact fraction down

Finding sin, cos, and tan 1) Find the csc( ) Since this is one of the special angles you are expected to look it up in your notes and put the exact fraction down

Finding sin, cos, and tan 1) Find the tan( ) This is not a special angle so we use the calculator – make sure it is in radians Round the answer to 4 decimal places

Inverse Trig Functions 1) Find the arctan( ) This question is asking us what angle has a tan = Look in our notes to find out that 30º has a tan =